The central elements of E_q,p(sl₂)_k with the critical level

2011/12/11 by Chang, Wenjing, Ding, Xiang-mao, Wu, Ke
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1112.2337

Abstract

In this paper we generalize certain results concerning quantum affine algebra U_q(sl₂) at the critical level to the corresponding elliptic case E_q,p(sl₂). Using the Wakimoto realization of the algebra E_q,p(sl₂), we construct the central elements of it at the critical level. It turns out that the so called Drinfeld conjecture originally proposed for Kac-Moody algebras also holds for the elliptic quantum algebras.

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