Quantum group representations and the Baxter equation

Alexander Antonov; Boric Feigin

doi:10.1016/S0370-2693(96)01526-2

Quantum group representations and the Baxter equation

Alexander Antonov^*
, Boric Feigin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

In this article we propose an algebraic universal procedure for deriving the "fusion rules" and the Baxter equation for any integrable model with U_q(Sl₂) symmetry by means of the quantum inverse scattering method. The universal Baxter Q-operator is obtained from a certain infinite dimensional representation called q-oscillator representation of the universal R-matrix for the U_q(sl₂) affine algebra (first proposed by V. Bazhanov, S. Lukyanov and A. Zamolodchikov [hep-th/9604044] for the quantum KdV case). We also examine the algebraic properties of the Q-operator.

Original language	English
Pages (from-to)	115-122
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	392
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(96)01526-2
State	Published - 23 Jan 1997
Externally published	Yes

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10.1016/S0370-2693(96)01526-2

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Quantum group representations and the Baxter equation

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