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arXiv · 1804.01036

Permutation Orbifolds of the Heisenberg Vertex Algebra $\mathcal{H}(3)$

Antun Milas·Michael Penn·Hanbo Shao
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Abstract

We study the $S_3$-orbifold of a rank three Heisenberg vertex algebras in terms of generators and relations. By using invariant theory we prove that the orbifold algebra has a minimal strongly generating set of vectors whose conformal weights are $1,2,3,4,5,6^2$ (two generators of degree $6$). The structure of the cyclic $\mathbb{Z}_3$-oribifold is determined by similar methods. We also study modular properties of characters of modules for these vertex algebras.

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BibTeXRIS

Antun Milas, Michael Penn, Hanbo Shao. 2018-04-03. Permutation Orbifolds of the Heisenberg Vertex Algebra $\mathcal{H}(3)$. https://doi.org/10.1063/1.5045164

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