Glasnik Matematicki, Vol. 55, No. 2 (2020), 277-300.

PERMUTATION ORBIFOLDS OF 𝔰𝔩2 VERTEX OPERATOR ALGEBRAS

Antun Milas and Michael Penn

Department of Mathematics and Statistics, SUNY-Albany, Albany NY 12222, USA
e-mail: amilas@albany.edu

Mathematics Department, Randolph College, Lynchburg VA 24503, USA
e-mail: mpenn@randolphcollege.edu

Abstract.   We analyze two types of permutation orbifolds: (i) S2-orbifolds of the universal level k vertex operator algebra Vk(𝔰𝔩2) and of its simple quotient Lk(𝔰𝔩2), and (ii) the S3-orbifold of the level one simple vertex operator algebra L1(𝔰𝔩2). We determine their structures and discuss related W-algebras.

2010 Mathematics Subject Classification.   17B69

Key words and phrases.   Permutation orbifolds, vertex algebrass

Full text (PDF) (free access)

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

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