Extended vertex operator algebras and monomial bases

Abstract

We present a vertex operator algebra which is an extension of the level $k$ vertex operator algebra for the ${\widehat{sl}}_2$ conformal field theory. We construct monomial basis of its irreducible representations.

To appear in the Festschrift in honor of Prof. McGuire published by World Scientific PC. In the present version several corrections are made

Cited by in corpus (8)

• Certain extensions of vertex operator algebras of affine type
• Toward logarithmic extensions of ^sl(2)_k conformal field models
• A monomial basis for the Virasoro minimal series M(p,p') : the case 1<p'/p<2
• Integrable $\widehat{{\mathfrak{sl}}_2}$-modules as infinite tensor products
• Q-characters of the tensor products
• Combinatorics of the ${\widehat{sl}}_2$ Spaces of Coinvariants
• Combinatorics of the $\widehat{s{l}_2}$ spaces of coinvariants II
• A Semi-Infinite Construction of Unitary N=2 Modules