English

Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(sl_3^)$

Exactly Solvable and Integrable Systems 2008-12-05 v1

Abstract

We study a free field realization of the elliptic quantum algebra Uq,p(sl3)U_{q,p}(sl_3^) for arbitrary level kk. We give the free field realization of elliptic analogue of Drinfeld current associated with Uq,p(sl3)U_{q,p}(sl_3^) for arbitrary level kk. In the limit p0,q1p \to 0, q \to 1 our realization reproduce Wakimoto realization for the affine Lie algebra sl_3^.

Keywords

Cite

@article{arxiv.0812.0890,
  title  = {Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(sl_3^)$},
  author = {Takeo Kojima},
  journal= {arXiv preprint arXiv:0812.0890},
  year   = {2008}
}

Comments

LaTEX, Proceedings for the 27-th International Colloquium of Group Theoretical Method in Physics held at Yerevan, Armenia