One-point theta functions for vertex operator algebras

DOI10.1016/j.jalgebra.2017.02.026zbMath1418.17060arXiv1612.02117OpenAlexW2963855938MaRDI QIDQ527781

Matthew Krauel

Publication date: 12 May 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02117

zbMATH Keywords

vertex operator algebrasmodular invariance

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Theta series; Weil representation; theta correspondences (11F27)

Related Items (3)

Trace functions of the parafermion vertex operator algebras ⋮ Trace functions and fusion rules of diagonal coset vertex operator algebras ⋮ Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras

Cites Work

• Unnamed Item
• Characters of topological \(N=2\) vertex algebras are Jacobi forms on the moduli space of elliptic supercurves
• Modularity of \(n\)-point functions and theta functions for vertex operator superalgebras
• Jacobi trace functions in the theory of vertex operator algebras
• Vertex algebras associated with even lattices
• Symmetric invariant bilinear forms on vertex operator algebras
• Twisted representations of vertex operator algebras
• 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
• A modular invariance on the theta functions defined on vertex operator algebras
• Modular data: the algebraic combinatorics of conformal field theory
• Elliptic genus and vertex operator algebras
• Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds
• VERTEX OPERATOR ALGEBRAS AND WEAK JACOBI FORMS
• MODULARITY ON VERTEX OPERATOR ALGEBRAS ARISING FROM SEMISIMPLE PRIMARY VECTORS
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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