Universal R-matrix and Quantum Volterra Model

Details Universal R-matrix and Quantum Volterra Model Universal R-matrix and Quantum Volterra Model

1996-07-03

arxiv.org/abs/hep-th/9607031v1

Teor.Mat.Fiz. 113N3 (1997) 384-396; Theor.Math.Phys. 113 (1997) 1520-1529

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex file

Scientific paper

In 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.

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