English

Elliptic Deformed Superalgebra $u_{q,p}(\hat{{sl}}(M|N))$

Exactly Solvable and Integrable Systems 2019-02-04 v4 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra

Abstract

We introduce the elliptic superalgebra Uq,p(sl^(MN))U_{q,p}(\hat{sl}(M|N)) as one parameter deformation of the quantum superalgebra Uq(sl^(MN))U_q(\hat{sl}(M|N)). For an arbitrary level k1k \neq 1 we give the bosonization of the elliptic superalgebra Uq,p(sl^(12))U_{q,p}(\hat{sl}(1|2)) and the screening currents that commute with Uq,p(sl^(12))U_{q,p}(\hat{sl}(1|2)) modulo total difference.

Keywords

Cite

@article{arxiv.1103.5527,
  title  = {Elliptic Deformed Superalgebra $u_{q,p}(\hat{{sl}}(M|N))$},
  author = {Takeo Kojima},
  journal= {arXiv preprint arXiv:1103.5527},
  year   = {2019}
}

Comments

LaTEX, 25 pages

R2 v1 2026-06-21T17:45:59.850Z