Representations of superconformal algebras and mock theta functions

DOI10.1090/mosc/268zbMath1436.17034arXiv1701.03344OpenAlexW2586363485MaRDI QIDQ4584291

Minoru Wakimoto, Victor G. Kac

Publication date: 30 August 2018

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03344

zbMATH Keywords

theta functionsuperconformal algebraquantum Hamiltonian reductionaffine Lie superalgebrabasic Lie superalgebraintegrable and admissible representations of affine Lie superalgebrasmock theta function and its modificationmodular invariant family of characters

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Jacobi forms (11F50) Elliptic functions and integrals (33E05)

Related Items

On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras, Recent advances and open questions on the susy structure of the chiral de Rham complex, Unitary and non-unitary \(N=2\) minimal models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characters of (relatively) integrable modules over affine Lie superalgebras
• Representations of affine superalgebras and mock theta functions. II
• Quantization of the Drinfel'd-Sokolov reduction.
• Quantum reduction and representation theory of superconformal algebras
• Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• Quantum reduction for affine superalgebras
• A characterization of modified mock theta functions
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Representations of affine superalgebras and mock theta functions
• Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions
• Representations of affine superalgebras and mock theta functions. III
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function