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Paper Citation Record · LEDGER

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions

As of 22 August 2026, this Paper Citation Record lists 100 of 165 outbound references and 1 inbound Pith citation observation for arXiv:2608.05294.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.05294 v1

Coverage vector

measured 100 of 165 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:59:33.078183Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:16:32.837960Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T00:16:33.737520Z

Reference resolution

100 of 165 outbound references displayed

  • verified exact14
  • verified fuzzy0
  • unresolved86
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation b86ba8b3-161c-4d8b-8587-c6724a9681e5 · outbound

This paper cites Broken quantum symmetry and confinement phases in planar physics.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Broken quantum symmetry and confinement phases in planar physics

Reference 1

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source=pdf_text observed=2026-08-08T15:59:32.748099Z digest=sha256:21669bd79989826abce5e1a7b34b8da485fe66d2de0eb5f867e49b14d7521104

Observation 0cf8ca97-15a4-4c85-8f5e-e013a68f75a5 · outbound

This paper cites Condensate induced transitions between topologically ordered phases.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Condensate induced transitions between topologically ordered phases

Reference 2

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source=pdf_text observed=2026-08-08T15:59:32.752947Z digest=sha256:16ad5b1e09e49e63a180126bf750b8ed4e580cb6b1e24b107603f25326be1f4b

Observation 1be06c3e-f1d3-496f-92a8-93f59e8a871e · outbound

This paper cites Anyon condensation and tensor categories.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Anyon condensation and tensor categories

Reference 3

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Observation 609695b0-308b-4462-b083-a2c9882e7f39 · outbound

This paper cites In a purelyscalarLandautheory, suchacubicinvariantwould generically drive the transition first order.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions In a purelyscalarLandautheory, suchacubicinvariantwould generically drive the transition first order

Reference 4

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source=pdf_text observed=2026-08-08T15:59:32.743427Z digest=sha256:c5b980376cf2739e4279464373875bd877e710411e60578ff65323a9a88a9a78

Observation 0432f711-3767-4a19-8f89-737929f1c165 · outbound

This paper cites Diagrammatics for Bose condensation in anyon theories.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Diagrammatics for Bose condensation in anyon theories

Reference 5

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Observation 64f95352-1430-45d6-8b03-7e557ca05f38 · outbound

This paper cites Proliferation transitions from a topological phase in $2+1$ dimensions.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Proliferation transitions from a topological phase in $2+1$ dimensions

Reference 6

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Observation b9dadb5e-e833-4e63-b520-1e52e66b0d30 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 7

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Observation a2b1cb47-8fb9-42e3-96ea-2a2ea2e6e0fd · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 8

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Observation a5c186ec-e0e5-48ed-a088-9f7ee4275c75 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 9

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Observation 861ae5ee-bfd3-4288-8705-1f3e0d4e033e · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-08T15:59:32.780065Z digest=sha256:49c249b934365bc5b19eae540d9822de797e44fd8429397fe14149d040f138a0

Observation 1c5a45d5-3bb7-4c54-9c9b-453d0ee1115a · outbound

This paper cites Doping lattice non-abelian quantum Hall states.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Doping lattice non-abelian quantum Hall states

Reference 11

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source=pdf_text observed=2026-08-08T15:59:32.783283Z digest=sha256:ae5a7a2e0a0fa7db22bc73e7ed7aec0bd2c6c833267c36748093a826de5c8931

Observation 951cc7a0-69dc-4209-81d7-d9ab47e9180a · outbound

This paper cites Pichler, C.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Pichler, C

Reference 12

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source=pdf_text observed=2026-08-08T15:59:32.786863Z digest=sha256:6e531d0288653bfed115f8f077884954cebda2a392cda600552b22431c80d24e

Observation 05ed667e-6dd3-4dff-8fbc-edcebab63249 · outbound

This paper cites Anyon superfluidity of excitons in quantum Hall bilayers.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Anyon superfluidity of excitons in quantum Hall bilayers

Reference 13

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source=pdf_text observed=2026-08-08T15:59:32.790023Z digest=sha256:9ea15978448fc3e2d228ab029c9f35f8ec59c3e0156990cc039380c0b54f7107

Observation 14a9338e-c8ed-4c66-8b8b-449491f7c102 · outbound

This paper cites Dijkgraaf and E.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Dijkgraaf and E

Reference 14

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source=pdf_text observed=2026-08-08T15:59:32.793511Z digest=sha256:2fcb0a7bdb05c5d9c5f4232118a663d0d093facfc6ef8faec70bf7229a1d1757

Observation e590be94-7dab-4b25-b9f0-2bdc185d5d98 · outbound

This paper cites Discrete gauge theories.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Discrete gauge theories

Reference 15

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Observation 47b0aaea-d6ed-4826-b8c6-bdcdf7840490 · outbound

This paper cites Topological interactions in broken gauge theories.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Topological interactions in broken gauge theories

Reference 16

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source=pdf_text observed=2026-08-08T15:59:32.799815Z digest=sha256:676f8c9e84d312f3333d92a62045d8e084473cd5004d01d930cb22c7f6439869

Observation c2ce0417-59bd-46b7-a917-3007a621e8c8 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-08T15:59:32.803388Z digest=sha256:f55e33f2460530be3693a897ed15fdbecf3e81cfa5c3e8d16ed7481e4c05bd2a

Observation 2458c939-741a-444c-8573-23163eb111e2 · outbound

This paper cites String-net condensation: A physical mechanism for topological phases.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions String-net condensation: A physical mechanism for topological phases

Reference 18

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source=pdf_text observed=2026-08-08T15:59:32.806743Z digest=sha256:792e9da703a484a7a25006084fe28f45298e3834b72ddc4887d159b53ce5dcb0

Observation f7cfa5d0-2478-496a-b635-3b9f39aa83c0 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-08T15:59:32.810060Z digest=sha256:3a547522fcc644fd7de37ccb8b9ca2de19b1f1fef56bc10292cc6a79eb0593fb

Observation b57e5e42-c22c-4f7b-bcd1-d73e58752507 · outbound

This paper cites Prediction of Toric Code Topological Order from Rydberg Blockade.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Prediction of Toric Code Topological Order from Rydberg Blockade

Reference 20

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source=pdf_text observed=2026-08-08T15:59:32.812995Z digest=sha256:ba7be2ebc7d8f76c62575565265dce1f77877277531c9bd6c092af3e6b46f06c

Observation dd6741d2-bd31-446f-bf0a-93fcee36d7b9 · outbound

This paper cites Probing Topological Spin Liquids on a Programmable Quantum Simulator.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Probing Topological Spin Liquids on a Programmable Quantum Simulator

Reference 21

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source=pdf_text observed=2026-08-08T15:59:32.816216Z digest=sha256:bbddc47f5c287c68aff6e2c063f38e3eb933fbd982d975be12b237d1ce76a015

Observation aec25457-0979-4b61-a6b7-2b96fac53897 · outbound

This paper cites Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor

Reference 22

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source=pdf_text observed=2026-08-08T15:59:32.819696Z digest=sha256:7823a7dd7cf393a9de7a3c88bed887efd15e761a84b8f09455bd64270e271e2b

Observation c6d4d4d4-cd3d-4a0b-9be7-71c1595956a7 · outbound

This paper cites Xu, Z.-Z.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Xu, Z.-Z

Reference 23

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Observation 324e3820-6d31-43bc-af4e-ddb09634baf2 · outbound

This paper cites Witten, Communications in mathematical physics 121, 351 (1989).

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Witten, Communications in mathematical physics 121, 351 (1989)

Reference 24

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Observation 3859e3c9-1773-4c1a-b877-8f9038edd90e · outbound

This paper cites Girvin and A.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Girvin and A

Reference 25

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source=pdf_text observed=2026-08-08T15:59:32.829151Z digest=sha256:023457745ce34652620de892351277e5e6e471f5d90d3bc6f18a714dc605beab

Observation 1220ad5a-5ea0-4404-94e7-f0579fa93fdc · outbound

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Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

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source=pdf_text observed=2026-08-08T15:59:32.832450Z digest=sha256:b9bede07124f4040debd9ad4370b1e7f6cd12a33ea4e9992ab0ebf7c5a890150

Observation 55f8cd0d-4e95-4544-bab0-c85421f0f717 · outbound

This paper cites Read, Physical Review Letters62, 86 (1989).

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Read, Physical Review Letters62, 86 (1989)

Reference 27

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Observation 31f522c5-348d-4852-8ca2-3d58d1a2e9b2 · outbound

This paper cites Lopez and E.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Lopez and E

Reference 28

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Observation 67cdb3ad-6999-4f69-badf-95972f999573 · outbound

This paper cites Ezawa and A.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Ezawa and A

Reference 29

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source=pdf_text observed=2026-08-08T15:59:32.841696Z digest=sha256:218075c94f10e1213f23d4a9669378b3acb41f4f3b06a48373b96ad7a49c64b5

Observation 661fe10f-1e85-4eac-9519-f4be429e8f64 · outbound

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Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-08T15:59:32.845037Z digest=sha256:24562825e9ec91c16aa5634e8cfb8407eceb4a51d66f48939bd549dd232b744e

Observation 8f33b6b5-c373-4de0-b564-5e8d98663cc3 · outbound

This paper cites Wen and A.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Wen and A

Reference 31

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source=pdf_text observed=2026-08-08T15:59:32.848238Z digest=sha256:bd926e3d3fff49a8a147815d7b3573c2d7c70aba22be4e95ee26911372994ce4

Observation 22a5df81-f0bd-42ac-a3bb-006ab9943a2d · outbound

This paper cites Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid

Reference 32

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source=pdf_text observed=2026-08-08T15:59:32.851402Z digest=sha256:c2c2a5a94af470ca1ef1be638925f9d29a21dfd307eec1e3d4e06579c6771e28

Observation c6a6cb6f-1ac5-484a-95d1-b5d1695e5cf9 · outbound

This paper cites Barkeshli, P.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Barkeshli, P

Reference 33

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source=pdf_text observed=2026-08-08T15:59:32.854676Z digest=sha256:89b1b18b47cfb1a17dcefe64eeb922e851db9e62182545e62c3637f6b028e27a

Observation 00d66e21-571f-4fab-a51a-19baefe1e3a2 · outbound

This paper cites Topological Order with a Twist: Ising Anyons from an Abelian Model.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Topological Order with a Twist: Ising Anyons from an Abelian Model

Reference 34

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source=pdf_text observed=2026-08-08T15:59:32.857689Z digest=sha256:8b069810ba0598d620f0a947879e20d62843943731d6ae08df989231fcf3905f

Observation 5a7a440f-03be-4ee1-b34e-a0698ef96f45 · outbound

This paper cites Genons, twist defects, and projective non-Abelian braiding statistics.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Genons, twist defects, and projective non-Abelian braiding statistics

Reference 35

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source=pdf_text observed=2026-08-08T15:59:32.860884Z digest=sha256:3c5384950456803001c7d4ccee211c9cd1d0b14b64e40edc21064d3efe554c9d

Observation 6a3481f9-8e9e-4727-a339-0f0cd7690be6 · outbound

This paper cites Theory of defects in Abelian topological states.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Theory of defects in Abelian topological states

Reference 36

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source=pdf_text observed=2026-08-08T15:59:32.864255Z digest=sha256:fb4c75542e24398159d19f47bcd1899108f9c37e13e0dea42eab71b0f3f6bd98

Observation 87614922-995c-4ffd-a205-e5efc8571e8a · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-08T15:59:32.867632Z digest=sha256:5826765bfdb275c45d7b5b26467a847a8916d3fd9f731f8645553268d161f411

Observation a8768cc0-166c-46e6-8d69-beddd7d583b2 · outbound

This paper cites Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension

Reference 38

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source=pdf_text observed=2026-08-08T15:59:32.871066Z digest=sha256:7e4178b82d62228e59bcda082dddcd45a48463d1682d354ab463faa22dde72e6

Observation 9f275418-1e71-4681-b8f6-744a48baee56 · outbound

This paper cites Low-energy effective theory of the toric code model in a parallel field.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Low-energy effective theory of the toric code model in a parallel field

Reference 39

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source=pdf_text observed=2026-08-08T15:59:32.874384Z digest=sha256:098f021a1669ef4a2cb5370b7b1dadbcd0043394f29030ed2366571f901e2c68

Observation ee5f509a-cf65-478c-b1e4-8feafd4b7b32 · outbound

This paper cites Topological multicritical point in the Toric Code and 3D gauge Higgs Models.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Topological multicritical point in the Toric Code and 3D gauge Higgs Models

Reference 40

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local_arxiv, observed 2026-08-08T15:59:34.772048Z

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source=pdf_text observed=2026-08-08T15:59:32.877601Z digest=sha256:9f8f369a9094d1f9f88a70c5c9efc23a425d4f2881ac369cf14c84ee547c7294

Observation a6129d0c-2cbf-4c8c-9c07-4cd7b8b14385 · outbound

This paper cites Phase diagram of the toric code model in a parallel magnetic field.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Phase diagram of the toric code model in a parallel magnetic field

Reference 41

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source=pdf_text observed=2026-08-08T15:59:32.880931Z digest=sha256:b4f32bc5f6cc1e94c6c96e289bdc73a7523ddd277bfd593028bdc389c6c60457

Observation 1e0f6911-83b1-42b2-9fb5-bc9560c4fbe2 · outbound

This paper cites Self-dual criticality in three-dimensional $\mathbb{Z}_2$ gauge theory with matter.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Self-dual criticality in three-dimensional $\mathbb{Z}_2$ gauge theory with matter

Reference 42

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source=pdf_text observed=2026-08-08T15:59:32.884262Z digest=sha256:bdad774bc24b057704e7d026cc5eab01ebcc94acf142eaf6176cf458368dba9e

Observation ed315945-73b2-4265-b779-96f6fabc2c5c · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-08T15:59:32.887689Z digest=sha256:8633fdcc8c16a14f5d6aa57fad43b47654d683fc7de3a6784091f3a32712a466

Observation d3547cdc-f65c-4302-8bb5-7b8cf9533997 · outbound

This paper cites Mochon, Physical Review A69, 032306 (2004).

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Mochon, Physical Review A69, 032306 (2004)

Reference 44

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source=pdf_text observed=2026-08-08T15:59:32.890711Z digest=sha256:46bd1bbd3a72dbe597e3b4214701ae704e88c6e9465fac59619ebcf1c7e80cea

Observation dc0826e9-a75c-4e5d-a940-26a3370e8f9b · outbound

This paper cites Universal quantum computation with weakly integral anyons.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Universal quantum computation with weakly integral anyons

Reference 45

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source=pdf_text observed=2026-08-08T15:59:32.893967Z digest=sha256:e1d741c3f3e5d52226fd068aacb9854146436f5e12a6a445cc6cdc711d040e18

Observation b24cc511-1348-4cd3-9210-2e5f4e93dcd7 · outbound

This paper cites A Universal Circuit Set Using the $S_3$ Quantum Double.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions A Universal Circuit Set Using the $S_3$ Quantum Double

Reference 46

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source=pdf_text observed=2026-08-08T15:59:32.897536Z digest=sha256:8c25a6b110263e49d9ccb94788e82e24b8816942d281245881836b9ce48eeda4

Observation bb40eaea-1288-44c1-93c6-4a6c4248e5f2 · outbound

This paper cites Universal Gates from Braiding and Fusing Anyons on Quantum Hardware.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Universal Gates from Braiding and Fusing Anyons on Quantum Hardware

Reference 47

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source=pdf_text observed=2026-08-08T15:59:32.901160Z digest=sha256:d78a533b5141ac8977654baffac4588ef72d3e663d4769077803c88901c5275b

Observation ebdfcce1-3330-4a4b-be61-7c0db32670a2 · outbound

This paper cites Metaplectic Anyons, Majorana Zero Modes, and their Computational Power.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Metaplectic Anyons, Majorana Zero Modes, and their Computational Power

Reference 48

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source=pdf_text observed=2026-08-08T15:59:32.904542Z digest=sha256:af0a77d80ab33bbab695b67fffa201b3e271e246e658488ff13573cdb3d36b72

Observation 6717b495-e9ff-4c6d-8483-3125c77c90d2 · outbound

This paper cites On Metaplectic Modular Categories and their applications.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions On Metaplectic Modular Categories and their applications

Reference 49

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local_arxiv, observed 2026-08-08T15:59:34.635790Z

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source=pdf_text observed=2026-08-08T15:59:32.907819Z digest=sha256:7c3b28cf1e88fb9c7ca3d80a61223744e6f042b4e23772593a092adcb219a57f

Observation b2a53789-d1ce-414b-b4ad-243c67db0bc7 · outbound

This paper cites Gustafson, E.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Gustafson, E

Reference 50

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source=pdf_text observed=2026-08-08T15:59:32.911253Z digest=sha256:8b587a3137b2c93817da245de910ccbd91c6dd02a5a0dc9ccf229cb3fc59b3f8

Observation c6007058-a44b-4cf6-b4ae-539893422688 · outbound

This paper cites Deaton, P.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Deaton, P

Reference 51

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source=pdf_text observed=2026-08-08T15:59:32.914266Z digest=sha256:84ca45282f1531449d334c71a16140f83aa0fe02097deb26fe82ad6913739b7e

Observation cb1885fa-bf36-4cdc-8ee1-dcb8d6bac178 · outbound

This paper cites Ardonne, P.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Ardonne, P

Reference 52

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source=pdf_text observed=2026-08-08T15:59:32.917345Z digest=sha256:138c2de6be35c586b8ec2732d9e624a6cbf5ca35751be800984315a603baa5d9

Observation 481510c8-6668-4eca-8ba3-dfca59d57e55 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-08T15:59:32.920470Z digest=sha256:8c34d0ecde0955e8ce1b46395f7f17cf76ffaf77ff211e8dd1b9ccd633853f99

Observation b483fae9-311c-447f-8cd8-d1692c4fe99f · outbound

This paper cites Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States

Reference 54

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source=pdf_text observed=2026-08-08T15:59:32.923935Z digest=sha256:4539775bd67f9ff2ee4847ea019a24602606d9c15df4486039a645bd56778520

Observation 7d46c822-373e-46f4-936f-20eb564fe77c · outbound

This paper cites Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states

Reference 55

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local_arxiv, observed 2026-08-08T15:59:34.521137Z

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source=pdf_text observed=2026-08-08T15:59:32.927352Z digest=sha256:1d9beb79c55fecf6d27f4457dc3681efb419119907fd200a8e56c3529b9f71a5

Observation 68437334-22da-4186-b74c-8e8542065497 · outbound

This paper cites Fibonacci Anyons From Abelian Bilayer Quantum Hall States.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Fibonacci Anyons From Abelian Bilayer Quantum Hall States

Reference 56

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source=pdf_text observed=2026-08-08T15:59:32.930807Z digest=sha256:0df0827ed00c37211cb7bbfa85d53dc7e628944e3848b21e69574f4ea9913695

Observation 424c666d-c6c1-4065-8e4c-3f5031ff8669 · outbound

This paper cites Condensing non-Abelian quasiparticles.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Condensing non-Abelian quasiparticles

Reference 57

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local_arxiv, observed 2026-08-08T15:59:34.493369Z

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source=pdf_text observed=2026-08-08T15:59:32.934127Z digest=sha256:480e00663861722dd2cae6995f1b31960552cf9b94be1fd90299cfb1c2a2b605

Observation 23fb3bd6-cd37-4cec-8b55-ac788ccf312a · outbound

This paper cites Hierarchy construction for non-abelian fractional quantum Hall states via anyon condensation.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Hierarchy construction for non-abelian fractional quantum Hall states via anyon condensation

Reference 58

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source=pdf_text observed=2026-08-08T15:59:32.937575Z digest=sha256:caa0947e3727fea5e9cbfb5981ef14f0842a6ffefa6242854cdf4ec617891e8d

Observation 86385866-96f5-4b7a-acb6-36c6e3672377 · outbound

This paper cites Non-Abelian phases from the condensation of Abelian anyons.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Non-Abelian phases from the condensation of Abelian anyons

Reference 59

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local_arxiv, observed 2026-08-08T15:59:34.470392Z

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source=pdf_text observed=2026-08-08T15:59:32.941131Z digest=sha256:de1b4a94527f3b1262e5fa15b2bd1de28aac6f20db7c8f56d2f463229584b911

Observation b74f2b48-15a2-43fe-a5fa-bccaaab2505c · outbound

This paper cites Lopez and E.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Lopez and E

Reference 60

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source=pdf_text observed=2026-08-08T15:59:32.944603Z digest=sha256:e429ebc911fcbbcb0e4f9beebb2e506c6b47ba038d3986aca0f16ad124db8aee

Observation b2d8b761-d7a0-4fe9-8d08-12184645249c · outbound

This paper cites Rajaraman, Physical Review B56, 6788 (1997).

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Rajaraman, Physical Review B56, 6788 (1997)

Reference 61

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source=pdf_text observed=2026-08-08T15:59:32.947954Z digest=sha256:159bd9dbcd98965691b2acb88be761813a288fffc89e0ce0c0d27d7ac0833a5b

Observation f29aa58f-1132-4b8b-ad47-1d106bb8d0e9 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 62

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source=pdf_text observed=2026-08-08T15:59:32.951440Z digest=sha256:a66b13e481603c0152743f898bfeb1d2674a5cbd7404cb140eb9e4673fe2e77d

Observation 5edd76e0-b095-4948-bc02-2d12fd85a332 · outbound

This paper cites Barkeshli and X.-G.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Barkeshli and X.-G

Reference 63

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source=pdf_text observed=2026-08-08T15:59:32.954538Z digest=sha256:43b5b6bc87a0be36c9a788d16ae023af742b3de9d212b403bd5d66704bbc0e0d

Observation a2a93487-aad6-4c0a-a5a3-2a3894a748e7 · outbound

This paper cites Papić, M.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Papić, M

Reference 64

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source=pdf_text observed=2026-08-08T15:59:32.957775Z digest=sha256:1e9020104382eb0a794a8f589074e2e96f645177273242eec70629d619f0be98

Observation afe365f1-9e03-4038-bfc6-baa3391735f7 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 65

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source=pdf_text observed=2026-08-08T15:59:32.960894Z digest=sha256:53f80f84afaf6328b3e20b2077149972a1cdc3f6ba2217789aeecb0f3e58cf1f

Observation 0cc2b896-f633-4a87-9356-a2bc0832e6cd · outbound

This paper cites Voinea, W.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Voinea, W

Reference 66

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source=pdf_text observed=2026-08-08T15:59:32.964196Z digest=sha256:768c97198b6b88be47ba237f182a92e1aac701188ff3da27f774e8970a622b0c

Observation 6d25555b-dbad-4acb-a124-30e5f42065d4 · outbound

This paper cites The Quantum Double Model with Boundary: Condensations and Symmetries.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions The Quantum Double Model with Boundary: Condensations and Symmetries

Reference 67

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source=pdf_text observed=2026-08-08T15:59:32.967380Z digest=sha256:4fe8a17ad09ecb845f6cdba6a3ee80b70bbf0413e882da97a7386027a06653bc

Observation 05112b11-b435-415c-8a85-77f1df8de8de · outbound

This paper cites Quantum orders in an exact soluble model.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Quantum orders in an exact soluble model

Reference 68

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source=pdf_text observed=2026-08-08T15:59:32.970757Z digest=sha256:1e10c1f0cd165befdc13a1aa4ab3f7ded1b517e26d4d39a51885c87a5e866346

Observation abc03865-2e76-4ef6-a3f7-7ba3fba75ba6 · outbound

This paper cites Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 69

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source=pdf_text observed=2026-08-08T15:59:32.974255Z digest=sha256:053361f72a4e4b191ccd5c12373d3cde0fc53a33dde7f863bc389d4bae4e752a

Observation f86a153f-b820-4065-a813-34b0aa249b4b · outbound

This paper cites Kitaev and L.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Kitaev and L

Reference 70

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source=pdf_text observed=2026-08-08T15:59:32.977897Z digest=sha256:dbdad2f3bb75375fd19a4a1c86fd4ea547fdabe1f7e5fd5ca1012e05604e09dc

Observation faabe2ff-aa0d-40d9-8ce8-da0450b995b2 · outbound

This paper cites The Witt group of non-degenerate braided fusion categories.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions The Witt group of non-degenerate braided fusion categories

Reference 71

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source=pdf_text observed=2026-08-08T15:59:32.981019Z digest=sha256:4f33beead3e7270b6638ea67e35a93d602edf3837337cde3f29526cd6b944666

Observation 56020ade-9f53-4751-89b1-a5b7c4e1dbc2 · outbound

This paper cites Neupert, H.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Neupert, H

Reference 72

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source=pdf_text observed=2026-08-08T15:59:32.984377Z digest=sha256:195092b78dc49a3714113ce46f2554849cd4efd1c55a8c50a6ead96ebec69074

Observation 0c9450ac-852b-4338-8877-39f3aaa00d06 · outbound

This paper cites Anyon condensation and its applications.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Anyon condensation and its applications

Reference 73

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source=pdf_text observed=2026-08-08T15:59:32.987600Z digest=sha256:050a196f13d8bac73fc50018a073525dadb7b6d0d7c090534c384c95c67ec1dc

Observation 2e79fc4a-19f7-43cc-89d8-f53c637d7bd3 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 74

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source=pdf_text observed=2026-08-08T15:59:32.991100Z digest=sha256:c42e8fedc378ec633692e35838dda47b3504928b3d186834f35eff6b10810160

Observation 2d902714-4be2-465f-9145-9cc79e0e3ddb · outbound

This paper cites Simulations of quantum double models.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Simulations of quantum double models

Reference 75

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source=pdf_text observed=2026-08-08T15:59:32.994430Z digest=sha256:a09e6d11f89ca69998a4f8de168522e7022021f88e791f486f80908fbc07f12c

Observation 3cf16a10-eed5-4bbc-bb23-f57b43253940 · outbound

This paper cites Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices

Reference 76

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Observation affa9edc-19c9-450a-ac25-9df257dc8a77 · outbound

This paper cites Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries

Reference 77

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Observation 168d17a0-7e7b-428b-b74f-1caf74f6bccc · outbound

This paper cites Symmetry enriched string-nets: Exactly solvable models for SET phases.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Symmetry enriched string-nets: Exactly solvable models for SET phases

Reference 78

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source=pdf_text observed=2026-08-08T15:59:33.004669Z digest=sha256:ba13586325cbf67a0ad61edbb0475bc168e20932f56f4e12bac78c47f270b49f

Observation 981bbfbf-c6c2-46ed-b00c-3e0088ce5322 · outbound

This paper cites Exactly Solvable Models for Symmetry-Enriched Topological Phases.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Exactly Solvable Models for Symmetry-Enriched Topological Phases

Reference 79

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Observation dfa3162e-78a8-44fb-8a96-c4ea3a5f6601 · outbound

This paper cites Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits

Reference 80

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source=pdf_text observed=2026-08-08T15:59:33.011454Z digest=sha256:8199ccca5c311dd2f9f1e0f29d9d86d1b07ff97cefda67c4ff344fd4eccacc13

Observation 9b0ab4ca-8bbf-4317-8286-f0886e9ab237 · outbound

This paper cites Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization

Reference 81

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source=pdf_text observed=2026-08-08T15:59:33.015088Z digest=sha256:8f9bedc71b3982e98f92165fb566e40fee588435267c4aa094e6c64bd11b8736

Observation eeb3f30e-d421-4538-bc03-ed1402a0a5ac · outbound

This paper cites Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states

Reference 82

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source=pdf_text observed=2026-08-08T15:59:33.018331Z digest=sha256:3cada2e719274cb253837edb0bc851cfcc651a336b4d014fbbd79440fd5ab057

Observation a219faf1-3966-4753-a0c6-750dc20cafa9 · outbound

This paper cites A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation

Reference 83

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source=pdf_text observed=2026-08-08T15:59:33.021656Z digest=sha256:5ce73b2eb6e7963ad400358b99dd3b59b6687d538660f9733a91feccd3edd0a5

Observation b6ac3378-2230-4938-b540-0c82d6d2a933 · outbound

This paper cites Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras

Reference 84

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Observation 0adab2d1-5ca4-4cd8-8dac-1dfb4d7a7606 · outbound

This paper cites Full Dyon Excitation Spectrum in Generalized Levin-Wen Models.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Full Dyon Excitation Spectrum in Generalized Levin-Wen Models

Reference 85

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source=pdf_text observed=2026-08-08T15:59:33.028297Z digest=sha256:19178e19dd0f3559c08f5fd4b179ab87d20789602d319dda1ed239f38929e663

Observation f3896ff9-d1b4-4305-836a-40b2bf16cae1 · outbound

This paper cites Generalized string-net models: A thorough exposition.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Generalized string-net models: A thorough exposition

Reference 86

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source=pdf_text observed=2026-08-08T15:59:33.031797Z digest=sha256:30ba149eb925407e4c8bcc5cd6a86d443a69e64e7cad80eb02090270be15ae3b

Observation 577fed97-382b-4aad-b2f2-968f9aa98b86 · outbound

This paper cites A lattice model for condensation in Levin-Wen systems.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions A lattice model for condensation in Levin-Wen systems

Reference 87

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source=pdf_text observed=2026-08-08T15:59:33.035176Z digest=sha256:f6ecb070698d754adf6f24690bce05c7971ba56030a4a464a852ba81a7411b63

Observation 59e1e1c0-5cf9-40a7-9463-77d267c0887a · outbound

This paper cites Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization

Reference 88

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source=pdf_text observed=2026-08-08T15:59:33.038538Z digest=sha256:fc0b27a29a31d58a177985792727975919776ba750d33db05668980017ad7906

Observation 187accc9-8e0b-43f1-b72d-e392ea69f58d · outbound

This paper cites However, in the infrared, the translation symmetry acts trivially, and only theZ2 acts faithfully on the anyon content.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions However, in the infrared, the translation symmetry acts trivially, and only theZ2 acts faithfully on the anyon content

Reference 89

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source=pdf_text observed=2026-08-08T15:59:33.042047Z digest=sha256:552cb978357eed1a71a74300fc6c0174d9f3e4b15fc54762e4c964eea888c720

Observation db95823c-83f5-42f6-b005-0742b0c2b271 · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 90

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source=pdf_text observed=2026-08-08T15:59:33.045386Z digest=sha256:56fba0ae2d224fc6258abc560f970bc8f8adb16cb4adc9e4641fed31f2488989

Observation 305f7a85-ec72-4548-9ff7-59b962890f26 · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 91

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source=pdf_text observed=2026-08-08T15:59:33.048688Z digest=sha256:8b3b1479bf803a5f314531ad71ce22b0c50454e6b4e77a01f0bd6b49322bdef6

Observation 1c4ac850-f6c4-4b8b-90ce-eb20d4f9754c · outbound

This paper cites Lyons, C.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Lyons, C

Reference 92

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source=pdf_text observed=2026-08-08T15:59:33.051972Z digest=sha256:1e25a2aeb36e95c3f1206ffe628f7d5f3a781b4a2e359bbfb2a1484e9735f9f8

Observation 95d3b86b-b914-46f1-9ac1-5375c1f1b8e3 · outbound

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Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 93

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source=pdf_text observed=2026-08-08T15:59:33.055067Z digest=sha256:84b5ada3ae0628b030391b9210249162176a14fb62b3e9ab244c0b28b16898df

Observation bdd14b70-802d-4933-b8f9-0a0dd451a2a0 · outbound

This paper cites Gavai, F.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Gavai, F

Reference 94

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source=pdf_text observed=2026-08-08T15:59:33.058936Z digest=sha256:c7f4bd0c77f9c6d597963684789bf7322ac52213447c1354ee68846fd881f933

Observation 9743a4ec-45fc-4fa6-85c3-b0e23e0c5bee · outbound

This paper cites Janke and R.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Janke and R

Reference 95

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source=pdf_text observed=2026-08-08T15:59:33.061900Z digest=sha256:5e0a559dc2f7a9441e30fe55ba1c0d5ace8e825351aa08e9d42189dd31b7faaf

Observation 0e2cb7c8-8676-4504-bb01-1e9d2c05963a · outbound

This paper cites Upper critical dimension of the 3-state Potts model.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Upper critical dimension of the 3-state Potts model

Reference 96

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source=pdf_text observed=2026-08-08T15:59:33.064888Z digest=sha256:1a659f677a114d812239872d3e7c29eb0bf3ca213df9ce18f43b5dfa711ea173

Observation 72a89ee8-c736-43be-8262-f627787d248b · outbound

This paper cites Microscopic study of 3D Potts phase transition via Fuzzy Sphere Regularization.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Microscopic study of 3D Potts phase transition via Fuzzy Sphere Regularization

Reference 97

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source=pdf_text observed=2026-08-08T15:59:33.068222Z digest=sha256:54b9e1a9dc6781d1dd918ee54136e58927914dba95fbfbe1a33de1bb40d77ba5

Observation afeebc1e-0159-43af-9c58-0face651d01c · outbound

This paper cites Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries

Reference 98

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source=pdf_text observed=2026-08-08T15:59:33.071633Z digest=sha256:2140c97ca8420fbb9ff06f1c1cc32cffd0581c0005a8aa7953ae7cf4e93bedcf

Observation db41d2bd-61d0-4fc8-b595-461266b46d7f · outbound

This paper cites an unresolved cited work.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Unresolved cited work

Reference 99

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source=pdf_text observed=2026-08-08T15:59:33.074990Z digest=sha256:7f5ca2e83e286651cd3f459ab721dbabfa85b65eb3851abea39465aec0cd062c

Observation 673c20ee-97b5-43df-ae1c-49af555ec8c8 · outbound

This paper cites Generalized Global Symmetries.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Generalized Global Symmetries

Reference 100

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source=pdf_text observed=2026-08-08T15:59:33.078183Z digest=sha256:276cd6ddc4d3282aa5c2ef45b5a727afb2fba915fda088f40ea69f7c2ba138dc

Pith citing papers

Observation b76c448a-ae0b-4bee-9e0a-64ebf844f1e4 · inbound

Proliferation Transitions for Non-Abelian Anyons cites this paper.

Proliferation Transitions for Non-Abelian Anyons Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions

Reference 19

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source=pdf_text observed=2026-08-16T00:16:32.837960Z digest=sha256:121fd963428de04877977eabf47de196c1de315f42d82290f61dc3bab44886a0