Non-abelian orbifolds of lattice vertex operator algebras
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Date
2021-11-01
Publication Type
Journal Article
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yes
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Abstract
We construct orbifolds of holomorphic lattice vertex operator algebras for non-abelian finite automorphism groups G. To this end, we construct twisted modules for automorphisms g together with the projective representation of the centralizer of g on the twisted module. This allows us to extract the irreducible modules of the fixed-point VOA Vᴳ, and to compute their characters and modular transformation properties. We then construct holomorphic VOAs by adjoining such modules to Vᴳ. Applying these methods to extremal lattices in d=48 and d=72, we construct more than fifty new holomorphic VOAs of central charge 48 and 72, many of which have a very small number of light states.
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published
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Journal / series
Volume
585
Pages / Article No.
656 - 696
Publisher
Elsevier
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Edition / version
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Software
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Date collected
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Subject
Vertex operator algebras; Orbifold Theory; Conformal packing; Conformal field theory
Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics