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Paper Citation Record · LEDGER

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

As of 19 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 4 inbound Pith citation observations for arXiv:2505.19412.

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

pith.paper-citation-record.v1
2505.19412 v3

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:22:36.286671Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:52:29.401514Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:48:40.160053Z

Reference resolution

59 of 59 outbound references displayed

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  • verified fuzzy20
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1062675d-5645-4f57-8afd-24331054bece · outbound

This paper cites Strings, Monopoles and Gauge Fields,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Strings, Monopoles and Gauge Fields,

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f48e8362-52fd-437e-aba8-0c504763c9d3 · outbound

This paper cites Vortices and Quark Confinement in Nonabelian Gauge Theories,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Vortices and Quark Confinement in Nonabelian Gauge Theories,

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3aa9aa37-f518-45e9-a59b-0131fcaddd96 · outbound

This paper cites Compact Gauge Fields and the Infrared Catastrophe,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Compact Gauge Fields and the Infrared Catastrophe,

Reference 3

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation bb2eedfe-d48b-44f7-b300-2629f0240c8e · outbound

This paper cites On the Phase Transition Towards Permanent Quark Confinement,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries On the Phase Transition Towards Permanent Quark Confinement,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:38.766698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 57064482-559d-4b55-8314-fa491977270a · outbound

This paper cites A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:38.644428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.002808Z digest=sha256:f1fda5a11f4a50421c96be9999201fc0f6c897057ef8ebc9015c22dcc0da48a8

Observation 187587a3-88a4-45cc-a183-56e2b4b2148c · outbound

This paper cites Quark Confinement and Vortices in Massive Gauge Invariant QCD,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Quark Confinement and Vortices in Massive Gauge Invariant QCD,

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.007973Z digest=sha256:0123fea3ab683b394e4eaa38d41761c09f19c103acd0cc795c8f375ee8251cb5

Observation 0645e1b7-7fbc-4f32-a540-18e51d7db46d · outbound

This paper cites A Quantum Liquid Model for the QCD Vacuum: Gauge and Rotational Invariance of Domained and Quantized Homogeneous Color Fields,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries A Quantum Liquid Model for the QCD Vacuum: Gauge and Rotational Invariance of Domained and Quantized Homogeneous Color Fields,

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c1c0fa7e-6375-4a9f-b0dc-046c7043c1b0 · outbound

This paper cites A Color Magnetic Vortex Condensate in QCD,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries A Color Magnetic Vortex Condensate in QCD,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:38.383381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5c4a5c8d-2eb5-4c6a-8077-b4f57247c65d · outbound

This paper cites Quantised singularities in the electromagnetic field,,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Quantised singularities in the electromagnetic field,,

Reference 9

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.022319Z digest=sha256:ba19171d7e216862a1aa4bcd199889c6a66483d4226b36cac8cef16a88941c1a

Observation e3360637-bd80-4d8d-9b03-0fdcfd174648 · outbound

This paper cites Magnetic charge and quantum field theory,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Magnetic charge and quantum field theory,

Reference 10

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.027761Z digest=sha256:8d96913dad2308267f340ab8e235a0d58fbf3f4fc9f203e4708e9b7019404a7b

Observation bc103856-4b91-4028-a435-8241310ffb42 · outbound

This paper cites Quantum field theory of particles with both electric and magnetic charges,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Quantum field theory of particles with both electric and magnetic charges,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:38.115968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b0db34da-0a83-4082-8717-3ed81678c16c · outbound

This paper cites Dyons of Charge e theta/2 pi,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Dyons of Charge e theta/2 pi,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:38.011140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 993a140f-4dfc-4703-891a-498e3030c1c2 · outbound

This paper cites Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories,

Reference 13

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.041835Z digest=sha256:dc7f587d4a00f99cc423a345af4519fcc72ef41207565d267b0ac0d25b6c4a1b

Observation 3b639e03-b889-485c-9503-4f18f0334342 · outbound

This paper cites Phase structure of Zp models in the presence of aθ parameter,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Phase structure of Zp models in the presence of aθ parameter,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.911961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 74245e76-05a3-4b33-a382-004ddc3bf08f · outbound

This paper cites Duality and theθ parameter in Abelian lattice models,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Duality and theθ parameter in Abelian lattice models,

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b961b889-6c0a-4d4e-aa1e-60a8e6e043cd · outbound

This paper cites Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry

Reference 16

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f5971516-0d9b-45e5-a913-1329ca174e1a · outbound

This paper cites Topological aspects of $4$D Abelian lattice gauge theories with the $\theta$ parameter.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topological aspects of $4$D Abelian lattice gauge theories with the $\theta$ parameter

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.058703Z digest=sha256:6fc7264d604f0e18e2e956ff1e6b4a56a6d54eb39982de1fe9729a12b0c0a514

Observation 37fbc0b0-8ad4-4fa3-9729-105f45a9f0ab · outbound

This paper cites Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

Reference 18

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source=pdf_text observed=2026-08-07T14:22:36.063854Z digest=sha256:124b0fa807d9489a421021e569d41d499de6832e08df7ef952efe235eb9ca7ea

Observation 33b0edce-c3c2-4c9e-a046-7841dde001b0 · outbound

This paper cites Theory of oblique topological insulators.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Theory of oblique topological insulators

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:22:36.951711Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4049dcd1-e719-4730-a454-f2b86578fa62 · outbound

This paper cites Emergent higher-symmetry protected topological orders in the confined phase of $U(1)$ gauge theory.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Emergent higher-symmetry protected topological orders in the confined phase of $U(1)$ gauge theory

Reference 20

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local_arxiv, observed 2026-08-07T14:22:36.886757Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 12433dff-e188-4f90-935b-6dbb8e600c4c · outbound

This paper cites Intertwined order of generalized global symmetries.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Intertwined order of generalized global symmetries

Reference 21

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local_arxiv, observed 2026-08-07T14:22:36.853839Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 378ff4b8-bccd-4d7f-9db4-ec062801fc2f · outbound

This paper cites Dual simulation of the 2d U(1) gauge Higgs model at topological angle $\theta = \pi\,$: Critical endpoint behavior.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Dual simulation of the 2d U(1) gauge Higgs model at topological angle $\theta = \pi\,$: Critical endpoint behavior

Reference 22

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source=pdf_text observed=2026-08-07T14:22:36.085238Z digest=sha256:3081c88f80fe90d224eca1a7747f583f7676e516c9a8afb4918b28ebf0bb0385

Observation d075bb09-9d00-4bc1-8114-249ead135bf6 · outbound

This paper cites Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles

Reference 23

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source=pdf_text observed=2026-08-07T14:22:36.091172Z digest=sha256:159f985016c201ca02605180ff5125e80e49ba99707e1c0db58a6ce2f0796dd4

Observation 423e84cd-bd0c-4ae3-b4c3-0039b92fc6e3 · outbound

This paper cites First-principle simulations of 1+1d quantum field theories at $\theta=\pi$ and spin-chains.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries First-principle simulations of 1+1d quantum field theories at $\theta=\pi$ and spin-chains

Reference 24

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no resolver link, observed 2026-08-07T14:22:36.096767Z

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source=pdf_text observed=2026-08-07T14:22:36.096767Z digest=sha256:4a19a364066888ed253b8394a41f23d3298b8cbc0384dd15cb6282422775f992

Observation c72a04b2-4c45-4f80-943b-e0703ec11233 · outbound

This paper cites Self-dual U(1) lattice field theory with a $\theta$-term.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Self-dual U(1) lattice field theory with a $\theta$-term

Reference 25

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no resolver link, observed 2026-08-07T14:22:36.102071Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.102071Z digest=sha256:79f81445e6d313748d89d785699cd94ff3048fa8d5382626e80b01c817b01e9c

Observation 4ec4a0bb-b28a-4699-8465-68686a1dea97 · outbound

This paper cites Phase structure of self-dual lattice gauge theories in 4d,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Phase structure of self-dual lattice gauge theories in 4d,

Reference 26

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unresolved
no resolver link, observed 2026-08-07T14:22:36.108187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.108187Z digest=sha256:ab2bd2b9e1d3299d4ca91c02606377d13b5a3d7bedf9cd9142e81e6f783a0f34

Observation 96a32d52-c03f-4fc8-9b6c-2d74fc0de0d0 · outbound

This paper cites Modified Villain formulation of abelian Chern-Simons theory.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Modified Villain formulation of abelian Chern-Simons theory

Reference 27

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no resolver link, observed 2026-08-07T14:22:36.112821Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.112821Z digest=sha256:68d1e0428b2fc22690f9f12df62dfa90920f75660003ff2bf0fd94f41e5e1f01

Observation 8de0a689-e51e-4ee6-a707-3fefeb6d1cfc · outbound

This paper cites Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.698916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.119257Z digest=sha256:a0e303c2c4d9c2f6e3e71403fcbbfe845f26099a68f1afedb4b48804fc5d7224

Observation 173a336f-0ea0-4f75-b8b7-790ba0e3fa26 · outbound

This paper cites A Modified Villain Formulation of Fractons and Other Exotic Theories.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 29

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no resolver link, observed 2026-08-07T14:22:36.123982Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.123982Z digest=sha256:0d653b90a6ceec548c022e638a37f5b252b951496b3391e0803e202eaf21c2d7

Observation e74ec79f-b321-467c-b8e2-3545171c74fc · outbound

This paper cites Non-Invertible Duality Defects in 3+1 Dimensions.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Non-Invertible Duality Defects in 3+1 Dimensions

Reference 30

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no resolver link, observed 2026-08-07T14:22:36.130899Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.130899Z digest=sha256:1917dffa38a15bb4ad2d071cb03975b84008bf5747c2e40b5f869c3156f9da89

Observation bb393fb4-be2c-4f60-a200-f27d9fe2c538 · outbound

This paper cites Exact lattice chiral symmetry in 2d gauge theory.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Exact lattice chiral symmetry in 2d gauge theory

Reference 31

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.136756Z digest=sha256:b4127bbc381e4708f4c4bf2de7165d96173768cb99dc3c8a37eac43b94e0f080

Observation 520a745c-421f-4ce6-a081-30945ad5af79 · outbound

This paper cites Instanton Density Operator in Lattice QCD from Higher Category Theory,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Instanton Density Operator in Lattice QCD from Higher Category Theory,

Reference 32

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unresolved
no resolver link, observed 2026-08-07T14:22:36.140861Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.140861Z digest=sha256:5f9b08062bc7709c5871ce324e9aafa2b5f821c1496d73e8edf7fffa0cfbe2cc

Observation c243725a-152c-4e89-883d-c572b953f0d7 · outbound

This paper cites An Explicit Categorical Construction of Instanton Density in Lattice Yang-Mills Theory.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries An Explicit Categorical Construction of Instanton Density in Lattice Yang-Mills Theory

Reference 33

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no resolver link, observed 2026-08-07T14:22:36.145609Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:22:36.145609Z digest=sha256:d2675744b9f7a35828673ec7a6594d44adcf7318c5618dc976ed9d9e6dc49945

Observation de0cf1eb-e80a-4312-9a06-1f9cf888386e · outbound

This paper cites Magnetic operators in 2D compact scalar field theories on the lattice.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Magnetic operators in 2D compact scalar field theories on the lattice

Reference 34

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source=pdf_text observed=2026-08-07T14:22:36.151846Z digest=sha256:d5c86652d8ac287c5cca7dfb60baf4b083e9548b7038c99bf1253f3fc4ab44dd

Observation 87d960f9-4e4c-4e97-977b-b25b92a7c485 · outbound

This paper cites Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures

Reference 35

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local_arxiv, observed 2026-08-07T14:22:36.576258Z

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source=pdf_text observed=2026-08-07T14:22:36.156948Z digest=sha256:444df0afa59bf4bfc9835ec0e24f98aceee9515c2a533b3e321029b27f8c0ab1

Observation 9cc93670-bf8e-47d1-9199-7ec03a5cbcd7 · outbound

This paper cites Higher cup products on hypercubic lattices: application to lattice models of topological phases.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Higher cup products on hypercubic lattices: application to lattice models of topological phases

Reference 36

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source=pdf_text observed=2026-08-07T14:22:36.162653Z digest=sha256:01a14c4fcdef6ea70000cc2f043bcaf32473122c02f817778d7311ffda63073b

Observation 2d071534-1927-4370-9f9d-99aa2731ee9d · outbound

This paper cites Noncommutative differential calculus and lattice gauge theory,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Noncommutative differential calculus and lattice gauge theory,

Reference 37

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.168255Z digest=sha256:c226712178cdf2278d30d8ac1564ecefaa22577a5fed9053c835290458d6edd1

Observation 31a6da8b-3e02-44b3-985a-b23a6dd6e2a2 · outbound

This paper cites An introduction to non-commutative differential geometry on quantum groups.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries An introduction to non-commutative differential geometry on quantum groups

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:22:36.541995Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.173344Z digest=sha256:200eebe4a1acfdd5f591dc9ea80a975b73e253d28493e1a83f6852eca820fc83

Observation 73dcd46a-5557-4e21-8e1d-96ff783a7114 · outbound

This paper cites Theta, Time Reversal, and Temperature.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Theta, Time Reversal, and Temperature

Reference 39

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.177975Z digest=sha256:7d89d2bb1d5a2dc9349e87bdb4ad92738369114eaff7357cddf04282ad039ee6

Observation f7488872-8336-401c-9b2c-eb4df589529b · outbound

This paper cites Vacuum structure of bifundamental gauge theories at finite topological angles.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Vacuum structure of bifundamental gauge theories at finite topological angles

Reference 40

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.182702Z digest=sha256:9538be9095ae5cfa5a27659380fc39cc62eade99a58d1dc065bec827e85d2e9f

Observation 68b939c3-3394-4a8c-91e9-4f7f56db906f · outbound

This paper cites Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics

Reference 41

Resolution
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no resolver link, observed 2026-08-07T14:22:36.188296Z

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source=pdf_text observed=2026-08-07T14:22:36.188296Z digest=sha256:47aad71ff25fb55334a069bd70a9424728d0aea2095da598df511534f804e08a

Observation b523d7c7-06fd-4e82-8733-093a4c127acb · outbound

This paper cites Comments on Abelian Higgs Models and Persistent Order.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Comments on Abelian Higgs Models and Persistent Order

Reference 42

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source=pdf_text observed=2026-08-07T14:22:36.192953Z digest=sha256:aedf28869cd6d266646c7cc2e1ca1717121e98d61f1c33e9cf3b87ba74e96096

Observation 1084d5a9-c286-4cb1-a389-c4f42611b03b · outbound

This paper cites Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1)^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1)^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations

Reference 43

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source=pdf_text observed=2026-08-07T14:22:36.199998Z digest=sha256:faf1bd1da17fb8de722ef8643895e9df126b20785ccba8d142fbf0a93b5621e9

Observation 3bcb3327-d0cb-4f35-a8ae-d7c7500b4969 · outbound

This paper cites Anomalies in the Space of Coupling Constants and Their Dynamical Applications I.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Anomalies in the Space of Coupling Constants and Their Dynamical Applications I

Reference 44

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source=pdf_text observed=2026-08-07T14:22:36.206531Z digest=sha256:eec48061d3509f6d4cccff2a654ff47c675abb70727b6c8213bd1e1f044631c7

Observation d21f1db6-612d-4039-a4ac-6c00067a757b · outbound

This paper cites Topological Defects on the Lattice I: The Ising model.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topological Defects on the Lattice I: The Ising model

Reference 45

Resolution
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no resolver link, observed 2026-08-07T14:22:36.215042Z

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source=pdf_text observed=2026-08-07T14:22:36.215042Z digest=sha256:0c8cfb813933fc63fe6cc6eb754b95c98f6e0541615c5f06c353dc8e6430905b

Observation 18892ead-c66b-4945-ad5f-aef809dec7f8 · outbound

This paper cites Topological Defects on the Lattice: Dualities and Degeneracies.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Topological Defects on the Lattice: Dualities and Degeneracies

Reference 46

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.219558Z digest=sha256:d7be6698c2b73fe15c35352175cf7eab60ec9f51011d283f42037a15eca959b5

Observation 36a2864a-9f94-478a-b16d-f34c0c0d894f · outbound

This paper cites Non-invertible topological defects in 4-dimensional $\mathbb{Z}_2$ pure lattice gauge theory.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Non-invertible topological defects in 4-dimensional $\mathbb{Z}_2$ pure lattice gauge theory

Reference 47

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.225267Z digest=sha256:dd48874e0d4f8e6d84d2150497487d5d07ed14f1c203c51108176608b3bda81b

Observation 34503d6e-88de-42df-8d17-ab04b9100694 · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 48

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.230553Z digest=sha256:2c924d054210278342c6fd55211cf4441bee2084b9fc79329ce06613b36cd9c2

Observation 806fa1fb-adc5-4070-a5bd-c7a0d50b158b · outbound

This paper cites Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.485681Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.236181Z digest=sha256:5b8bd1fbc4fbec9b095d248ffed4fb8a6e3530f5f7e35506cfad7398a844d74b

Observation f5c38090-ad01-495c-9898-a22d40e064d2 · outbound

This paper cites Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.425431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.241228Z digest=sha256:eda28c491803cdbe4ca4ce0e9c84e68cf0ec4069ea33a7ee40789cdb829d866f

Observation a0eebefd-5a6e-4bf8-831f-461a649ea409 · outbound

This paper cites Non-Invertible Duality Transformation Between SPT and SSB Phases.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 51

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source=pdf_text observed=2026-08-07T14:22:36.246668Z digest=sha256:92d03b052924ee55359e011daceacad73f4002dd25654470b4e6760722d8e532

Observation 16e929f3-39e7-407c-9e2c-2d5f38822991 · outbound

This paper cites Twisted Partition Functions as Order Parameters.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Twisted Partition Functions as Order Parameters

Reference 52

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source=pdf_text observed=2026-08-07T14:22:36.252737Z digest=sha256:537d8e005d433ec2eaf084cbc3e919e05500bb89e9b012015147a2560b65cb90

Observation 8e5c9135-0225-4545-85d9-93a5e89bb96d · outbound

This paper cites Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry

Reference 53

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source=pdf_text observed=2026-08-07T14:22:36.258317Z digest=sha256:46de67e5be915128f9f43b50dfc6c36851e20b0118a6024325f7fd0bdc6016b9

Observation fd788072-407d-4873-bebc-ff0a8314c92d · outbound

This paper cites Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 54

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source=pdf_text observed=2026-08-07T14:22:36.263071Z digest=sha256:ca2cc72144bc5279651ec9c257465659cc2eaf54c731617a3749934b08811d10

Observation 34299817-7f6b-4a92-a834-26eab8367d9d · outbound

This paper cites Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems

Reference 55

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source=pdf_text observed=2026-08-07T14:22:36.268514Z digest=sha256:03e24998225189c4b4288aa8ae5f2ad902a7bfc2adc2e3d1520e7336cab91c93

Observation ad0d25ed-f6a5-4a01-b0a8-fe74a3476c7d · outbound

This paper cites Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries

Reference 56

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source=pdf_text observed=2026-08-07T14:22:36.272404Z digest=sha256:f4681b42d18a96820bb5ae00bb8ad61983bd32fa0c306c72f12773c788283015

Observation c54decb7-00cf-4af8-bc5b-d853854d5c24 · outbound

This paper cites Spin and Statistics Connection for Charge-Monopole Composites,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Spin and Statistics Connection for Charge-Monopole Composites,

Reference 57

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verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.296467Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.277113Z digest=sha256:6fc52c47600ce0f2c1dc3a6ff9ff750eb247e3afb7a65e987ecd2e91b86842af

Observation c0196949-7154-4fe6-9756-183090c83f0c · outbound

This paper cites Spin from Isospin in a Gauge Theory,.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Spin from Isospin in a Gauge Theory,

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:22:37.210702Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T14:22:36.282168Z digest=sha256:b78ce23fce77dd14ba98b5455e5999dec7ebe37f8232530acd727ab46dea12c7

Observation 0df340d8-2ca8-4498-a5a9-2e5b5a255e2b · outbound

This paper cites Spin TQFTs and fermionic phases of matter.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Spin TQFTs and fermionic phases of matter

Reference 59

Resolution
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source=pdf_text observed=2026-08-07T14:22:36.286671Z digest=sha256:3676c63e913a85bb8bb737ef14f121c0f47685199fb050c0aef1f44305359ab0

Pith citing papers

Observation 21b5f0f4-d707-451b-811f-637d827c0278 · inbound

Exotic theta terms in 2+1d fractonic field theory cites this paper.

Exotic theta terms in 2+1d fractonic field theory 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Reference 47

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verified exact
arxiv_id, observed 2026-05-11T00:50:50.281466Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T18:18:34.357833Z digest=sha256:aa3d69aef88458584789323d1b5a748660baad4696fe0616e5a52924e309e72f

Observation 79e7e698-4b82-44a3-901d-a16f71d27d9a · inbound

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation cites this paper.

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:51:01.784045Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T16:55:57.814577Z digest=sha256:098363935ebcca30df74e3c839b7e3fa3c6738b4ea0564e9ead4be9fb8c44e88

Observation 8757e497-f510-4468-9e3b-d3b6656c82dc · inbound

Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory cites this paper.

Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Reference 64

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T16:48:40.161718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-27T05:01:19.197838Z digest=sha256:799d394dbf4295acbd620c058837c8930e4ebf7468fc92bae64e0f4b3b37c05e

Observation 802dff50-9e6e-4629-89e4-95f870c1c752 · inbound

$\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation cites this paper.

$\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Reference 11

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unresolved
no resolver link, observed 2026-08-01T02:52:29.401514Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:52:29.401514Z digest=sha256:33aca48d02300d06b42a24ae851a1ad0921f6dbdbbe03cd52c8a519c5b2d794b