ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24

2016/11/23 by Kazuya Kawasetsu, Kawasetsu, Kazuya, Ching Hung Lam +3
Mathematics · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1611.07655

openalex publication_date 2016/11/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

The vertex operator algebra structure of a strongly regular holomorphic vertex operator algebra V of central charge 24 is proved to be uniquely determined by the Lie algebra structure of its weight one space V₁ if V₁ is a Lie algebra of the type A_1,4¹², B_2,2⁶, B_3,2⁴, B_4,2³, B_6,2², B_12,2, D_4,2²B_2,1⁴, D_8,2B_4,1², A_3,2⁴A_1,1⁴, D_5,2²A_3,1², D_9,2A_7,1, C_4,1⁴ or D_6,2B_3,1²C_4,1.

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