Original scientific paper

https://doi.org/10.3336/gm.43.1.05

Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A

Ozren Perše ; Department of Mathematics, University of Zagreb

Abstract

Let L(-(l+1)/2,0) be the simple vertex operator algebra associated to an affine Lie algebra of type Al(1) with the lowest admissible half-integer level -(l+1)/2, for even l. We study the category of weak modules for that vertex operator algebra which are in category O as modules for the associated affine Lie algebra. We classify irreducible objects in that category and prove semisimplicity of that category.

Keywords

Vertex operator algebra; affine Kac-Moody algebra; modular invariant representation

Hrčak ID:

23532

URI

https://hrcak.srce.hr/23532

Publication date:

25.5.2008.

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