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arXiv · 1909.09626

Non-Abelian Orbifolds of Lattice Vertex Operator Algebras

Thomas Gemünden·Christoph A. Keller
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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 $V^G$, and to compute their characters and modular transformation properties. We then construct holomorphic VOAs by adjoining such modules to $V^G$. 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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BibTeXRIS

Thomas Gemünden, Christoph A. Keller. 2019-09-20. Non-Abelian Orbifolds of Lattice Vertex Operator Algebras. https://arxiv.org/abs/1909.09626

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