Integrals of Motion and Quantum Groups

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dc.creatorFeigin, Boris
dc.creatorFrenkel, Edward
dc.date1993-10-04
dc.date1995-09-26
dc.date.accessioned2026-07-07T09:01:21Z
dc.date.available2026-07-07T09:01:21Z
dc.descriptionA homological construction of integrals of motion of the classical and quantum Toda field theories is given. Using this construction, we identify the integrals of motion with cohomology classes of certain complexes, which are modeled on the BGG resolutions of the associated Lie algebras and their quantum deformations. This way we prove that all classical integrals of motion can be quantized. For the Toda field theories associated to finite-dimensional Lie algebras, the algebra of integrals of motions is the corresponding W-algebra. For affine Toda field theories this algebra is a commutative subalgebra of a W-algebra; it consists of quantum KdV hamiltonians.
dc.description71 pages (final version, to appear in Lect. Notes in Math, vol. 1620)
dc.identifierhttps://arxiv.org/abs/hep-th/9310022
dc.identifierhttp://arxiv.org/abs/hep-th/9310022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148290
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleIntegrals of Motion and Quantum Groups
dc.typetext

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