Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$

Drazen Adamovic; Antun Milas

Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$

q-alg 2008-02-03 v1 Quantum Algebra

Authors: Drazen Adamovic , Antun Milas

Abstract

We investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$ , where k is 'admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\cal O$ and find all irreducible representations in the category of weight modules.

Keywords

vertex operator algebras modular invariant representations affine lie algebra irreducible representations category o

Cite

@article{arxiv.q-alg/9509025,
  title  = {Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$},
  author = {Drazen Adamovic and Antun Milas},
  journal= {arXiv preprint arXiv:q-alg/9509025},
  year   = {2008}
}

Comments

14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995

Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$

Abstract

Keywords

Cite

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