FUSION PRODUCTS OF TWISTED MODULES IN PERMUTATION ORBIFOLDS

Chongying Dong; Haisheng Li; Feng Xu; Nina Yu

doi:10.1090/tran/8959

FUSION PRODUCTS OF TWISTED MODULES IN PERMUTATION ORBIFOLDS

Chongying Dong
, Haisheng Li
, Feng Xu
, Nina Yu

Rutgers Camden, Mathematics

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

4 Scopus citations

Abstract

Let V be a vertex operator algebra, k a positive integer and σ a permutation automorphism of the vertex operator algebra V ^×k. In this paper, we determine the fusion product of any V ^×k-module with any σ-twisted V ^×kmodule.

Original language	English (US)
Pages (from-to)	1717-1760
Number of pages	44
Journal	Transactions of the American Mathematical Society
Volume	377
Issue number	3
DOIs	https://doi.org/10.1090/tran/8959
State	Published - Mar 2024

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/tran/8959

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@article{9872e245cbbc4284aa10c55e0fa5e2ab,

title = "FUSION PRODUCTS OF TWISTED MODULES IN PERMUTATION ORBIFOLDS",

abstract = "Let V be a vertex operator algebra, k a positive integer and σ a permutation automorphism of the vertex operator algebra V ×k. In this paper, we determine the fusion product of any V ×k-module with any σ-twisted V ×kmodule.",

author = "Chongying Dong and Haisheng Li and Feng Xu and Nina Yu",

note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.",

year = "2024",

month = mar,

doi = "10.1090/tran/8959",

language = "English (US)",

volume = "377",

pages = "1717--1760",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - FUSION PRODUCTS OF TWISTED MODULES IN PERMUTATION ORBIFOLDS

AU - Dong, Chongying

AU - Li, Haisheng

AU - Xu, Feng

AU - Yu, Nina

PY - 2024/3

Y1 - 2024/3

N2 - Let V be a vertex operator algebra, k a positive integer and σ a permutation automorphism of the vertex operator algebra V ×k. In this paper, we determine the fusion product of any V ×k-module with any σ-twisted V ×kmodule.

AB - Let V be a vertex operator algebra, k a positive integer and σ a permutation automorphism of the vertex operator algebra V ×k. In this paper, we determine the fusion product of any V ×k-module with any σ-twisted V ×kmodule.

UR - https://www.scopus.com/pages/publications/85175688147

UR - https://www.scopus.com/pages/publications/85175688147#tab=citedBy

U2 - 10.1090/tran/8959

DO - 10.1090/tran/8959

M3 - Article

AN - SCOPUS:85175688147

SN - 0002-9947

VL - 377

SP - 1717

EP - 1760

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -

FUSION PRODUCTS OF TWISTED MODULES IN PERMUTATION ORBIFOLDS

Abstract

All Science Journal Classification (ASJC) codes

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