• Corpus ID: 14036378

Deformations of W-algebras associated to simple Lie algebras

@article{Frenkel1997DeformationsOW,
  title={Deformations of W-algebras associated to simple Lie algebras},
  author={Edward Vladimir Frenkel and Nicolai Reshetikhin},
  journal={Communications in Mathematical Physics},
  year={1997},
  volume={197},
  pages={1-32}
}
Deformed W-algebra Wq,t(g) associated to an arbitrary simple Lie alge- bra g is defined together with its free field realizations and the screening operators. Explicit formulas are given for generators of Wq,t(g) when g is of classical type. These formulas exhibit a deep connection between Wq,t(g) and the analytic Bethe Ansatz in integrable models associated to quantum affine algebrasUq(b) and Ut( L b). The scaling limit of Wq,t(g) is closely related to affine Toda field theories. 
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  • Taro Kimura
  • Mathematics
    Proceedings of Symposia in Pure Mathematics
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The purpose of this paper is the computation of the Poisson brackets in the deformed W -algebras Wq(g), where g is of type Dn, E6 or G2. Let us first briefly recall some facts about two main
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