# 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

 Fulltext: english, pdf (211 KB) pages 277-300 downloads: 155* cite APA 6th EditionMilas, A. & Michael, M. (2020). Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras. Glasnik matematički, 55 (2), 277-300. https://doi.org/10.3336/gm.55.2.08 MLA 8th EditionMilas, Antun and Michael Michael. "Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras." Glasnik matematički, vol. 55, no. 2, 2020, pp. 277-300. https://doi.org/10.3336/gm.55.2.08. Accessed 5 Dec. 2021. Chicago 17th EditionMilas, Antun and Michael Michael. "Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras." Glasnik matematički 55, no. 2 (2020): 277-300. https://doi.org/10.3336/gm.55.2.08 HarvardMilas, A., and Michael, M. (2020). 'Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras', Glasnik matematički, 55(2), pp. 277-300. https://doi.org/10.3336/gm.55.2.08 VancouverMilas A, Michael M. Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras. Glasnik matematički [Internet]. 2020 [cited 2021 December 05];55(2):277-300. https://doi.org/10.3336/gm.55.2.08 IEEEA. Milas and M. Michael, "Permutation orbifolds of $\frak{sl}_2$ vertex operator algebras", Glasnik matematički, vol.55, no. 2, pp. 277-300, 2020. [Online]. https://doi.org/10.3336/gm.55.2.08

Abstracts
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

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