Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies | Paper Citation Record

Observation 9f1fdb1c-b59d-475b-ad6f-1dd84f966d4c · outbound

This paper cites SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry

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This paper cites A Duality Web in 2+1 Dimensions and Condensed Matter Physics.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies A Duality Web in 2+1 Dimensions and Condensed Matter Physics

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This paper cites Particle-Vortex Duality from 3d Bosonization.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Particle-Vortex Duality from 3d Bosonization

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This paper cites Deconfined quantum critical points: symmetries and dualities.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Deconfined quantum critical points: symmetries and dualities

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Gaillard and B

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This paper cites Gauge Theories Labelled by Three-Manifolds.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Gauge Theories Labelled by Three-Manifolds

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Observation 82f493db-be29-414b-afe8-438b0ec1fdc6 · outbound

This paper cites Abelian duality, walls and boundary conditions in diverse dimensions.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Abelian duality, walls and boundary conditions in diverse dimensions

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This paper cites Hua and I.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Hua and I

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This paper cites Anomalies of Duality Groups and Extended Conformal Manifolds.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Anomalies of Duality Groups and Extended Conformal Manifolds

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Korkmaz and A.I

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This paper cites Harer,The second homology group of the mapping class group of an orientable surface, Invent.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Harer,The second homology group of the mapping class group of an orientable surface, Invent

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This paper cites Critical theories connecting gapped phases with $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry from the duality web.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Critical theories connecting gapped phases with $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry from the duality web

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Counting Rules of Nambu-Goldstone Modes

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Observation 4b7a6487-8c94-44e8-93b4-d20083cfd1ad · outbound

This paper cites Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach

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This paper cites Classification and Properties of Symmetry Enriched Topological Phases: A Chern-Simons approach with applications to Z2 spin liquids.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Classification and Properties of Symmetry Enriched Topological Phases: A Chern-Simons approach with applications to Z2 spin liquids

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This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Symmetry Fractionalization, Defects, and Gauging of Topological Phases

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This paper cites Topological orders and Edge excitations in FQH states.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Topological orders and Edge excitations in FQH states

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Observation 2d707c65-5f9b-400e-b7b1-5ed373433be6 · outbound

This paper cites Gauging U(1) symmetry in (2+1)d topological phases.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Gauging U(1) symmetry in (2+1)d topological phases

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This paper cites Gauging Lie group symmetry in (2+1)d topological phases.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Gauging Lie group symmetry in (2+1)d topological phases

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This paper cites Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems

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This paper cites Duality and Non-linear Response for Quantum Hall Systems.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Duality and Non-linear Response for Quantum Hall Systems

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Duality, the Semi-Circle Law and Quantum Hall Bilayers

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Experimental probes of emergent symmetries in the quantum Hall system

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies An RG potential for the quantum Hall effects

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This paper cites Exact realization of Integer and Fractional Quantum Hall Phases in U(1)xU(1) models in (2+1)d.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Exact realization of Integer and Fractional Quantum Hall Phases in U(1)xU(1) models in (2+1)d

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Is the Composite Fermion a Dirac Particle?

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This paper cites Loop Models, Modular Invariance, and Three Dimensional Bosonization.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Loop Models, Modular Invariance, and Three Dimensional Bosonization

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Haldane,Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states,Phys

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Halperin,Statistics of quasiparticles and the hierarchy of fractional quantized hall states, Phys

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Halperin,Theory of the quantized hall conductance,Helv

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Nguyen, N.J

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Jain,Composite-fermion approach for the fractional quantum hall effect,Phys

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Scarola and J

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies A SymTFT for Continuous Symmetries

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Anomalies and gauging of U(1) symmetries

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Apruzzi, F

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Jia and Y

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies $SL(2,\mathbb{Z})$ action on QFTs with $\mathbb{Z}_2$ symmetry and the Brown-Kervaire invariants

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies 3d Abelian Gauge Theories at the Boundary

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies B¨ urgisser,Elements of finite order in symplectic groups,Archiv der Mathematik39(1982) 501

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Cohomology of symplectic groups and Meyer's signature theorem

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Barkeshli, P

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies In and around Abelian anyon models

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Anyons in an exactly solved model and beyond

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies A K matrix Construction of Symmetry Enriched Phases of Matter

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Lectures on Dualities in 2+1 Dimensions

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Topological holography, quantum criticality, and boundary states

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Blok and X.G

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Read,Excitation structure of the hierarchy scheme in the fractional quantum hall effect, Phys

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Wen and A

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Tong,Lectures on the Quantum Hall Effect, 6, 2016

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Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Kohn,Cyclotron resonance and de haas-van alphen oscillations of an interacting electron gas,Phys

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Observation 8ed33bb2-66db-486b-b01a-d863af9f250d · outbound

This paper cites Hall Viscosity and Electromagnetic Response.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Hall Viscosity and Electromagnetic Response

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:11.710805Z

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Observation ab812ae0-56a9-425f-99dd-d516d9dec617 · outbound

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

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Hierarchy construction for non-abelian fractional quantum Hall states via anyon condensation

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:11.883485Z

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Observation 28eb2daa-234a-4ad9-a5a1-301c7626921e · outbound

This paper cites Balatsky and E.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Balatsky and E

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:12.117973Z

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Observation bbb527ed-6b50-4ab6-a912-34b3a8110043 · outbound

This paper cites Milovanovi´ c and N.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Milovanovi´ c and N

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:12.369679Z

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Observation af75f1dc-a864-408d-bd06-9ca2cb318645 · outbound

This paper cites The enigma of the $\nu=2+\frac{3}{8}$ fractional quantum Hall effect.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies The enigma of the $\nu=2+\frac{3}{8}$ fractional quantum Hall effect

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:12.549735Z

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Unavailable: canonical work link unavailable.

Observation 05652a0a-b83c-4e94-9c6b-60da04368406 · outbound

This paper cites Gapped Boundary Phases of Topological Insulators via Weak Coupling.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Gapped Boundary Phases of Topological Insulators via Weak Coupling

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:12.784826Z

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Unavailable: canonical work link unavailable.

Observation 3ccfac28-6160-44c3-875f-f3a31b033bfb · outbound

This paper cites Moore and N.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Moore and N

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:12.941721Z

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Observation cc4b12ed-78a2-444d-99ec-b294e992ebd2 · outbound

This paper cites Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.080632Z

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Observation b93991f4-4023-4a98-a6b0-36a460b4d4f2 · outbound

This paper cites Anyon condensation and tensor categories.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Anyon condensation and tensor categories

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.248381Z

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Observation 43669b56-a04b-42e8-97e5-5a5f1aec5773 · outbound

This paper cites Fractional Quantum Hall Hierarchy and the Second Landau Level.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Fractional Quantum Hall Hierarchy and the Second Landau Level

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.332935Z

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Unavailable: canonical work link unavailable.

Observation 93f6f655-6eb1-4ab1-a4ed-ad2914e2d2f5 · outbound

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

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.387244Z

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Observation 85b403c0-517d-491e-b6e6-13670ca1d867 · outbound

This paper cites Non-Abelian Two-component Fractional Quantum Hall States.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Non-Abelian Two-component Fractional Quantum Hall States

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.440656Z

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Unavailable: canonical work link unavailable.

Observation 28884187-45b0-4301-9f62-2df890e720cc · outbound

This paper cites Duality between $(2+1)d$ Quantum Critical Points.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Duality between $(2+1)d$ Quantum Critical Points

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.480144Z

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Unavailable: canonical work link unavailable.

Observation a2d30ae9-47b2-4375-9fec-b1d79cad82db · outbound

This paper cites Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.530204Z

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Unavailable: canonical work link unavailable.

Observation 7b740e62-ffff-4ba2-a2de-0e0ed8421f30 · outbound

This paper cites A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.568963Z

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Observation c954ba4d-339e-490d-9a76-56021f748297 · outbound

This paper cites Emergent Symmetry and Tricritical Points near the deconfined Quantum Critical Point.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Emergent Symmetry and Tricritical Points near the deconfined Quantum Critical Point

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.610379Z

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Unavailable: canonical work link unavailable.

Observation 00f40802-d9d3-431e-b1ce-3d195bbd4cc0 · outbound

This paper cites Self-duality protected multi-criticality in deconfined quantum phase transitions.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Self-duality protected multi-criticality in deconfined quantum phase transitions

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.674020Z

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Observation 3e3f11a1-d233-4c32-9e22-0a93a394839f · outbound

This paper cites Dumitrescu, P.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Dumitrescu, P

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.737951Z

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Observation dddcf0b5-e063-472b-9d34-c6dbc527d48c · outbound

This paper cites Behr,Eine endliche pr¨ asentation der symplektischen gruppe sp4 (z).,Mathematische Zeitschrift141(1975) 47.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Behr,Eine endliche pr¨ asentation der symplektischen gruppe sp4 (z).,Mathematische Zeitschrift141(1975) 47

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.787556Z

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Observation a39a0cc3-8d94-4fdc-818f-0fd4bfe0f03f · outbound

This paper cites Farb and D.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Farb and D

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.820899Z

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Observation d188fea8-4819-4aa6-8b4f-17bb9fc73f8f · outbound

This paper cites A Web of 2d Dualities: ${\bf Z}_2$ Gauge Fields and Arf Invariants.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies A Web of 2d Dualities: ${\bf Z}_2$ Gauge Fields and Arf Invariants

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.881527Z

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Unavailable: canonical work link unavailable.

Observation 6114fab7-4207-43bd-83b1-9b0df1ed9158 · outbound

This paper cites Orbifold groupoids.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Orbifold groupoids

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.941590Z

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Observation b1c10aa0-b5e7-4784-8edb-932aeb77b1de · outbound

This paper cites Realizing triality and $p$-ality by lattice twisted gauging in (1+1)d quantum spin systems.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Realizing triality and $p$-ality by lattice twisted gauging in (1+1)d quantum spin systems

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:13.990984Z

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Unavailable: canonical work link unavailable.

Observation 1187a645-f413-4c40-9be9-c211e4b37cd4 · outbound

This paper cites Fermionic quantum criticality through the lens of topological holography.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Fermionic quantum criticality through the lens of topological holography

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:14.060675Z

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Unavailable: canonical work link unavailable.

Observation 50ebe113-b329-4fdb-ac54-89c6532bbf18 · outbound

This paper cites The effects of interactions on the topological classification of free fermion systems.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies The effects of interactions on the topological classification of free fermion systems

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:14.124873Z

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Unavailable: canonical work link unavailable.

Observation 51c02fb9-133d-4f58-9ff6-2c0344f86a12 · outbound

This paper cites Fermionic Symmetry Protected Topological Phases and Cobordisms.

Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies Fermionic Symmetry Protected Topological Phases and Cobordisms

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-01T10:04:14.180606Z

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