Michio Jimbo, Jun’ichi Shiraishi
Abstract
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An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra $U_q(\hat{sl}_2)$. A similar construction is proposed for the elliptic algebra $A_{q,p}(\hat{sl}_2)$.
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An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra $U_q(\hat{sl}_2)$. A similar construction is proposed for the elliptic algebra $A_{q,p}(\hat{sl}_2)$.
Key concepts: Virasoro algebra, N = 2 superconformal algebra, Vertex operator algebra, Unitary state, Filtered algebra, Algebra over a field, Coset, Vertex (graph theory)