Deformations of W-algebras associated to simple Lie algebras

dc.creatorFrenkel, Edward
dc.creatorReshetikhin, Nicolai
dc.date1997-08-04
dc.date1997-09-25
dc.date.accessioned2026-07-07T09:08:50Z
dc.date.available2026-07-07T09:08:50Z
dc.descriptionDeformed $\W$--algebra $\W_{q,t}(\g)$ associated to an arbitrary simple Lie algebra $\g$ is defined together with its free field realizations and the screening operators. Explicit formulas are given for generators of $\W_{q,t}(\g)$ when $\g$ is of classical type. These formulas exhibit a deep connection between $\W_{q,t}(\g)$ and the analytic Bethe Ansatz in integrable models associated to quantum affine algebras $U_q(\G)$ and $U_t(\GL)$. The scaling limit of $\W_{q,t}(\g)$ is closely related to affine Toda field theories.
dc.description33 pages, Latex2e. Extended version
dc.identifierhttps://arxiv.org/abs/q-alg/9708006
dc.identifierhttp://arxiv.org/abs/q-alg/9708006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150865
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleDeformations of W-algebras associated to simple Lie algebras
dc.typetext

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