Fusion rings revisited

DOI10.1090/conm/713/14378zbMath1462.17027arXiv1708.07919OpenAlexW2752636672MaRDI QIDQ5234919

Jiuzu Hong

Publication date: 7 October 2019

Published in: Representations of Lie Algebras, Quantum Groups and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07919

zbMATH Keywords

affine Weyl groupVerlinde formulaconformal blocksaffine Lie algebrafusion ringmodular S-matrix

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Kac-Moody groups (20G44)

Related Items (6)

Deformation of Wess–Zumino–Witten fusion rules from open q-boson models with diagonal boundary conditions ⋮ Conformal blocks for Galois covers of algebraic curves ⋮ Twisted conformal blocks and their dimension ⋮ Twisted moduli spaces and Duistermaat-Heckman measures ⋮ Affine Pieri rule for periodic Macdonald spherical functions and fusion rings ⋮ Conformal blocks, Verlinde formula and diagram automorphisms

Cites Work

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• Fusion rules and modular transformations in 2D conformal field theory
• Tensor invariants, saturation problems, and Dynkin automorphisms.
• Infinite-dimensional Lie algebras, theta functions and modular forms
• An equivalence of fusion categories
• From Dynkin diagram symmetries to fixed point structures
• The action of outer automorphisms on bundles of chiral blocks
• Conformal blocks, Verlinde formula and diagram automorphisms
• Mirković-Vilonen cycles and polytopes for a symmetric pair
• Conformal blocks, fusion rules and the Verlinde formula
• Introduction to Lie Algebras and Representation Theory

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