Free field realization of the level-2 elliptic algebra Ux,p ([^(\mathfraks\mathfrakl)]2 )*)U_{x,p} (\widehat{\mathfrak{s}\mathfrak{l}}_2 )*)期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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*Free field realization of the level-2 elliptic algebra U_x,p ([^(\mathfraks\mathfrakl)]₂ ))U_{x,p} (\widehat{\mathfrak{s}\mathfrak{l}}_2 ))*

Authors:	Hitoshi Konno

Institution:	(1) Department of Mathematics, Faculty of Integrated Arts & Sciences, Hiroshima University, Higashi - Hiroshima 739-8521, Japan

Abstract:	We give a level-2 representation of the elliptic algebra $U_{x,p} (\widehat{\mathfrak{s}\mathfrak{l}_2 })$ in terms of one free boson and one free fermion. We show that $U_{x,p} (\widehat{\mathfrak{s}\mathfrak{l}}_2 )$ -modules have a natural direct sum decomposition into the irreducible (deformed) super-Virasoro modules associated with the coset $(\mathfrak{s}\mathfrak{l}_2 )_2 \oplus (\mathfrak{s}\mathfrak{l}_2 )_{r - 4} /(\mathfrak{s}\mathfrak{l}_2 )_{r - 2}$ . Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.

Keywords:	elliptic algebra Virasoro algebra quantum group
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