A coset-type construction for the deformed Virasoro algebra

Abstract

An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra $U_q({\widehat{sl}}_2)$. A similar construction is proposed for the elliptic algebra $A_{q,p}({\widehat{sl}}_2)$.

16 pages LaTex; added errata

References in corpus (1)

• Towards Deformed Chiral Algebras

Cited by in corpus (3)

• Deformed W_N algebras from elliptic sl(N) algebras
• The Drinfeld Realization of the Elliptic Quantum Group B_{q,lambda}(A_2^(2))
• Vertex Models with Alternating Spins