Certain extensions of vertex operator algebras of affine type

Details Certain extensions of vertex operator algebras of affine type Certain extensions of vertex operator algebras of affine type

2000-03-06

arxiv.org/abs/math/0003038v1

Mathematics

Quantum Algebra

Latex, 51 pages

Scientific paper

10.1007/s002200100386

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.

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