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Original scientific paper

https://doi.org/10.3336/gm.55.2.08

Permutation orbifolds of \(\frak{sl}_2\) vertex operator algebras

Antun Milas ; Department of Mathematics and Statistics, SUNY-Albany, Albany NY 12222, USA
Michael Michael ; Mathematics Department, Randolph College, Lynchburg VA 24503, USA


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Abstract

We analyze two types of permutation orbifolds: (i) \(S_2\)-orbifolds of the universal level $k$ vertex operator algebra $V^k(\frak{sl}_2)$ and of its simple quotient $L_k(\frak{sl}_2)$, and (ii) the $S_3$-orbifold of the level one simple vertex operator algebra $L_1(\frak{sl}_2)$. We determine their structures and discuss related $W$-algebras.

Keywords

Permutation orbifolds; vertex algebras

Hrčak ID:

248668

URI

https://hrcak.srce.hr/248668

Publication date:

23.12.2020.

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