Universal R-matrix and Quantum Volterra Model

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dc.creatorAntonov, Alexander
dc.date1996-07-03
dc.date.accessioned2026-07-07T09:14:32Z
dc.date.available2026-07-07T09:14:32Z
dc.descriptionIn this paper we explicitly prove that Integrable System solved by Quantum Inverse Scattering Method can be described with the pure algebraic object (Universal R-matrix) and proper algebraic representations. Namely, on the example of the Quantum Volterra model we construct L-operator and fundamental R--matrix from universal R--matrix for Quantum Affine $U_q(\widehat{sl}_2)$ Algebra and q-oscillator representation for it. In this way there exists an equivalence between the Integrable System with symmetry algebra A and the representation of this algebra.
dc.description12 pages, Latex file
dc.identifierhttps://arxiv.org/abs/hep-th/9607031
dc.identifierhttp://arxiv.org/abs/hep-th/9607031
dc.identifierTeor.Mat.Fiz. 113N3 (1997) 384-396; Theor.Math.Phys. 113 (1997) 1520-1529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152708
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleUniversal R-matrix and Quantum Volterra Model
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