English

Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$

Quantum Algebra 2019-02-04 v1 High Energy Physics - Theory Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We consider commutation relations and invertibility relations of vertex operators for the quantum affine superalgebra Uq(sl^(MN))U_q(\widehat{sl}(M|N)) by using bosonization. We show that vertex operators give a representation of the graded Zamolodchikov-Faddeev algebra by direct computation.Invertibility relations of type-II vertex operators for N>MN>M are very similar to those of type-I for M>NM>N.

Keywords

Cite

@article{arxiv.1807.02273,
  title  = {Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$},
  author = {Takeo Kojima},
  journal= {arXiv preprint arXiv:1807.02273},
  year   = {2019}
}

Comments

LaTEX, 41 pages