Certain extensions of vertex operator algebras of affine type

Haisheng Li

doi:10.1007/s002200100386

Certain extensions of vertex operator algebras of affine type

Haisheng Li

Rutgers Camden, Mathematics

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

28 Scopus citations

Abstract

We generalize Feigin and Miwa's construction of extended vertex operator (super)algebras A_k (sl (2)) for other types of simple Lie algebras. For all the constructed extended vertex operator (super)algebras, irreducible modules are classified, complete reducibility of every module is proved and fusion rules are determined modulo the fusion rules for vertex operator algebras of affine type.

Original language	English (US)
Pages (from-to)	653-696
Number of pages	44
Journal	Communications In Mathematical Physics
Volume	217
Issue number	3
DOIs	https://doi.org/10.1007/s002200100386
State	Published - Mar 2001

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200100386

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abstract = "We generalize Feigin and Miwa's construction of extended vertex operator (super)algebras Ak (sl (2)) for other types of simple Lie algebras. For all the constructed extended vertex operator (super)algebras, irreducible modules are classified, complete reducibility of every module is proved and fusion rules are determined modulo the fusion rules for vertex operator algebras of affine type.",

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Certain extensions of vertex operator algebras of affine type

Abstract

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