Trace functions and fusion rules of diagonal coset vertex operator algebras

DOI10.1016/j.jpaa.2023.107327OpenAlexW4287213365MaRDI QIDQ2689189

Xingjun Lin

Publication date: 9 March 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06785

zbMATH Keywords

vertex operator algebraaffine Lie algebrafusion rulecoset vertex operator algebratraces function

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items

Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras

Cites Work

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• The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\)
• One-point theta functions for vertex operator algebras
• Congruence property in conformal field theory
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Modular and conformal invariance constraints in representation theory of affine algebras
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Symmetric invariant bilinear forms on vertex operator algebras
• Twisted representations of vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Algebraic coset conformal field theories.
• A modular invariance on the theta functions defined on vertex operator algebras
• Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras
• \(W\)-algebras as coset vertex algebras
• Elliptic genus and vertex operator algebras
• Trace functions of the parafermion vertex operator algebras
• Quantum dimensions and quantum Galois theory
• Integrability of C2-cofinite vertex operator algebras
• VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
• Modular invariance of characters of vertex operator algebras
• N = 4 Superconformal Algebras and Diagonal Cosets
• Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• Certain extensions of vertex operator algebras of affine type
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.