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Theoretical and Mathematical Physics

, Volume 113, Issue 3, pp 1520–1529 | Cite as

Quantum volterra model and the universalR-matrix

  • A. V. Antonov
Article

Abstract

We prove that an integrable system solved by the quantum inverse scattering method can be described by a purely algebraic object (universal R-matrix) and a proper algebraic representation. For the quantum Volterra model, we construct the L-operator and the fundamental R-matrix from the universal R-matrix for the quantum affine algebra Uq(ŝl2) and the q-oscillator representation for it. Thus, there is an equivalence between an integrable system with the symmetry algebra A and the representation of this algebra.

Keywords

Imaginary Root Quantum Space Volterra Model Auxiliary Space Baxter Operator 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. V. Antonov
    • 1
    • 2
  1. 1.L. D. Landau Institute for Theoretical PhysicsMoscowRussia
  2. 2.Laboratoire de Physique Théorique et Hautes Energies Université Pierre et Marie CurieParisFrance

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