Universal R-matrix and Quantum Volterra Model

Abstract

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.

12 pages, Latex file

References in corpus (1)

• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation

Cited by in corpus (2)

• Universal integrability objects
• Quasilocal Conservation Laws in the Quantum Hirota Model