English

The central elements of $E_{q,p}(\hat{sl_2})_k$ with the critical level

Mathematical Physics 2011-12-13 v1 math.MP Quantum Algebra

Abstract

In this paper we generalize certain results concerning quantum affine algebra Uq(sl2^)U_{q}(\hat{sl_{2}}) at the critical level to the corresponding elliptic case Eq,p(sl2^)E_{q,p}(\hat{sl_2}). Using the Wakimoto realization of the algebra Eq,p(sl2^)E_{q,p}(\hat{sl_2}), 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.

Keywords

Cite

@article{arxiv.1112.2337,
  title  = {The central elements of $E_{q,p}(\hat{sl_2})_k$ with the critical level},
  author = {Wenjing Chang and Xiang-mao Ding and Ke Wu},
  journal= {arXiv preprint arXiv:1112.2337},
  year   = {2011}
}

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12 pages