Permutation orbifolds of sl2 vertex operator algebras

Antun Milas; Michael Penn

doi:10.3336/gm.55.2.08

Permutation orbifolds of sl₂ vertex operator algebras

Antun Milas
, Michael Penn

Mathematics and Statistics

University at Albany

Randolph College

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We analyze two types of permutation orbifolds: (i) S₂-orbifolds of the universal level k vertex operator algebra V^k (sl₂) and of its simple quotient L_k (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.

Original language	English
Pages (from-to)	277-300
Number of pages	24
Journal	Glasnik Matematicki
Volume	55
Issue number	2
DOIs	https://doi.org/10.3336/gm.55.2.08
State	Published - 2020

Keywords

Permutation orbifolds
Vertex algebras

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10.3336/gm.55.2.08

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title = "Permutation orbifolds of sl2 vertex operator algebras",

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.",

keywords = "Permutation orbifolds, Vertex algebras",

author = "Antun Milas and Michael Penn",

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T1 - Permutation orbifolds of sl2 vertex operator algebras

AU - Milas, Antun

AU - Penn, Michael

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Permutation orbifolds

KW - Vertex algebras

UR - https://www.scopus.com/pages/publications/85096295777

U2 - 10.3336/gm.55.2.08

DO - 10.3336/gm.55.2.08

M3 - Article

SN - 0017-095X

VL - 55

SP - 277

EP - 300

JO - Glasnik Matematicki

JF - Glasnik Matematicki

IS - 2

ER -

Permutation orbifolds of sl₂ vertex operator algebras

Abstract

Keywords

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