Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories
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Publication:5871333
DOI10.1088/1751-8121/ab8e03OpenAlexW2997273956MaRDI QIDQ5871333
Jeffrey A. Harvey, Yuxiao Wu, Yichen Hu
Publication date: 19 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11955
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Cites Work
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- Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity
- Commutative algebras in Fibonacci categories
- Anyons in an exactly solved model and beyond
- Fusion rules and modular transformations in 2D conformal field theory
- Classical and quantum conformal field theory
- On classification of modular tensor categories
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Rationality in conformal field theory
- Infinite conformal symmetry in two-dimensional quantum field theory
- Markov traces and II\(_ 1\) factors in conformal field theory
- Galois modular invariants of WZW models
- Comments on nonunitary conformal field theories
- Cosets of meromorphic CFTs and modular differential equations
- Vertex operator algebras, minimal models, and modular linear differential equations of order 4
- Products of vector valued Eisenstein series
- The Fourier expansion of Hecke operators for vector-valued modular forms
- Universal RCFT correlators from the holomorphic bootstrap
- Hecke relations in rational conformal field theory
- Meromorphic \(c=24\) conformal field theories
- The kernel of the modular representation and the Galois action in RCFT
- On the classification of modular fusion algebras
- Hecke operators on vector-valued modular forms
- The Frobenius-Schur indicator in conformal field theory
- A universal dimension formula for complex simple Lie algebras
- The intermediate vertex subalgebras of the lattice vertex operator algebras
- On fusion categories.
- Non-cyclotomic fusion categories
- Tensor categories and the mathematics of rational and logarithmic conformal field theory
- On classification of extremal non-holomorphic conformal field theories
- Twenty five years of two-dimensional rational conformal field theory
- Microscopic models of interacting Yang–Lee anyons
- Quantum invariants of knots and 3-manifolds