Representations of affine superalgebras and mock theta functions. II

DOI10.1016/j.aim.2016.03.015zbMath1372.17020arXiv1402.0727OpenAlexW2315396799MaRDI QIDQ304080

Victor G. Kac, Minoru Wakimoto

Publication date: 23 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0727

zbMATH Keywords

superconformal algebraintegrable modulemock theta functionquantum Hamiltonian reductionaffine Lie superalgebramodular and elliptic transformation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Theta series; Weil representation; theta correspondences (11F27)

Related Items

Indefinite theta series and generalized error functions, Identities for generalized Appell functions and the blow-up formula, Representations of superconformal algebras and mock theta functions, Grothendieck rings of Queer Lie superalgebras, Recent advances and open questions on the susy structure of the chiral de Rham complex, Tensor Categories for Vertex Operator Superalgebra Extensions, A characterization of modified mock theta functions, Equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras, Kazama-Suzuki coset construction and its inverse, Unitary and non-unitary \(N=2\) minimal models, Characters of (relatively) integrable modules over affine Lie superalgebras

Cites Work

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• Characters of (relatively) integrable modules over affine Lie superalgebras
• Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
• Quantum reduction for affine superalgebras
• Representations of affine superalgebras and mock theta functions
• MOCK MAASS THETA FUNCTIONS