Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations

DOI10.1007/s00220-023-04775-wzbMath1519.18012arXiv2203.14829MaRDI QIDQ6135926

Zhenghan Wang, Eric C. Rowell, Siu-Hung Ng, Xiao-Gang Wen

Publication date: 28 August 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14829

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Fusion categories, modular tensor categories, modular functors (18M20)

Cites Work

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• Classification of metaplectic modular categories
• On the classification of the Grothendieck rings of non-self-dual modular categories
• Congruence subgroups and generalized Frobenius-Schur indicators
• Anyons in an exactly solved model and beyond
• Modular categories are not determined by their modular data
• Fusion rules and modular transformations in 2D conformal field theory
• Frobenius-Schur indicators and exponents of spherical categories.
• Congruence property in conformal field theory
• On the classification of weakly integral modular categories
• Classical and quantum conformal field theory
• On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\)
• On classification of modular tensor categories
• Die irreduziblen Darstellungen der Gruppen \(SL_2(Z_p)\), insbesondere \(SL_2(Z_2)\). II
• Modular data for the extended Haagerup subfactor
• On the classification of modular fusion algebras
• Braided zesting and its applications
• Non-pseudounitary fusion
• Modular categories with transitive Galois actions
• Metaplectic categories, gauging and property \(F\)
• Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories
• The Frobenius-Schur indicator in conformal field theory
• On fusion categories.
• Rank-finiteness for modular categories
• Representations of SL (2, p)
• On Classification of Modular Categories by Rank: Table A.1
• Classification of Spherical Fusion Categories of Frobenius–Schur Exponent 2
• Modular categories, integrality and Egyptian fractions
• On symmetric representations of 𝑆𝐿₂(ℤ)
• Quantum invariants of knots and 3-manifolds