Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms

Ching Hung Lam; Hiroki Shimakura

doi:10.1007/s00220-015-2484-8

Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms

Ching Hung Lam, Hiroki Shimakura

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article

12 Citations (Scopus)

Abstract

In this article, we construct three new holomorphic vertex operator algebras of central charge 24 using the (Formula presented.) -orbifold construction associated to inner automorphisms. Their weight one subspaces have the Lie algebra structures D_7,3A_3,1G_2,1, E_7,3A_5,1, and (Formula presented.). In addition, we discuss the constructions of holomorphic vertex operator algebras with Lie algebras A_5,6C_2,3A_1,2 and (Formula presented.) from holomorphic vertex operator algebras with Lie algebras C_5,3G_2,2A_1,1 and (Formula presented.) , respectively.

Original language	English
Pages (from-to)	803-841
Number of pages	39
Journal	Communications in Mathematical Physics
Volume	342
Issue number	3
DOIs	https://doi.org/10.1007/s00220-015-2484-8
Publication status	Published - 2016 Mar 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Lam, C. H., & Shimakura, H. (2016). Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms. Communications in Mathematical Physics, 342(3), 803-841. https://doi.org/10.1007/s00220-015-2484-8

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