English

A remarkable connection between Yangians and finite W-algebras

High Energy Physics - Theory 2007-05-23 v1 Quantum Algebra

Abstract

For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfied. Therefore such finite W algebras appear as realisations of Yangians. This result is useful to determine properties of such W algebra representations.

Keywords

Cite

@article{arxiv.hep-th/9803242,
  title  = {A remarkable connection between Yangians and finite W-algebras},
  author = {E. Ragoucy and P. Sorba},
  journal= {arXiv preprint arXiv:hep-th/9803242},
  year   = {2007}
}

Comments

4 pages, latex2e, Talk presented at NEEDS'97, VIII Regional Conference on Math. Phys, Vth Wigner Symposium and 3rd Bologna Workshop on CFT and IM