English

Algebra of screening operators for the deformed $W_n$ algebra

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed WnW_n algebra. They are given as integrals involving a product of screening currents and elliptic theta functions. We derive a set of quadratic relations among the screening operators, and use them to construct a Felder-type complex in the case of the deformed W3W_3 algebra.

Keywords

Cite

@article{arxiv.q-alg/9702029,
  title  = {Algebra of screening operators for the deformed $W_n$ algebra},
  author = {B. Feigin and M. Jimbo and T. Miwa and A. Odesskii and Y. Pugai},
  journal= {arXiv preprint arXiv:q-alg/9702029},
  year   = {2009}
}

Comments

46 pages