The mock modular data of a family of superalgebras

DOI10.1090/S0002-9939-2014-11959-9zbMath1294.11055arXiv1205.1518OpenAlexW2043677583MaRDI QIDQ5418539

Thomas Creutzig, Claudia Alfes-Neumann

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1518

zbMATH Keywords

superalgebraGrothendieck ringmock modular datanon-generic module

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (14)

Unitary \(W\)-algebras and three-dimensional higher spin gravities with spin one symmetry ⋮ An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ W-algebras for Argyres-Douglas theories ⋮ Logarithmic conformal field theory, log-modular tensor categories and modular forms ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Modular data and Verlinde formulae for fractional level WZW models I ⋮ Modular data and Verlinde formulae for fractional level WZW models. II ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras ⋮ False theta functions and the Verlinde formula ⋮ Simple current extensions beyond semi-simplicity ⋮ Orbifolds of symplectic fermion algebras ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ Unitary and non-unitary \(N=2\) minimal models

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