Non-Invertible Anyon Condensation and Level-Rank Dualities

arXiv:2312.16317 · hep-th, cond-mat.str-el, math.QA · Submitted 2023-12-26 · Read on arXiv

hep-th, cond-mat.str-el, math.QA

Submitted: 2023-12-26

Updated: 2026-04-29

Comments: 85 pages, 5 figures, 18 tables. v3: minor corrections and added references

Journal ref: SciPost Phys. 21, 089 (2026)

DOI: 10.21468/SciPostPhys.21.4.089

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Anyon Condensation — 4× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes

Sources

• Level/rank Duality and Chern-Simons-Matter Theories
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Exceptional Chern-Simons-Matter Dualities
• Phases Of Adjoint QCD$_3$ And Dualities
• Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$
• Coupling a QFT to a TQFT and Duality
• Generalized Global Symmetries
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Condensate induced transitions between topologically ordered phases
• Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
• ICTP Lectures on (Non-)Invertible Generalized Symmetries
• What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
• From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
• Generalized ADE Classification of Gapped Domain Walls
• Topological Defect Lines and Renormalization Group Flows in Two Dimensions
• Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
• Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
• Construction of two-dimensional topological field theories with non-invertible symmetries
• Asymptotic density of states in 2d CFTs with non-invertible symmetries

Related papers

• S-duality, boundary states, and higher-form symmetries on ALE spaces
• Quantum simulation of traversable-wormhole-inspired quantum teleportation in a chaotic binary sparse SYK model
• Perfect Particle Transmission through Duality Defects
• Entanglement Wedge Reconstruction Beyond the Large N Limit via the Twirled Petz Map
• Horizons and Soft Quantum Information
• Energy Transmission Across Holographic Conformal Interfaces in General Dimensions