Glasnik matematički, Vol. 55 No. 2, 2020.
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
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
Publication date:
23.12.2020.
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