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Construction of the elliptic gaudin system based on Lie algebra

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Abstract

Gaudin model is a very important integrable model in both quantum field theory and condensed matter physics. The integrability of Gaudin models is related to classical r-matrices of simple Lie algebras and semi-simple Lie algebra. Since most of the constructions of Gaudin models works concerned mainly on rational and trigonometric Gaudin algebras or just in a particular Lie algebra as an alternative to the matrix entry calculations often presented, in this paper we give our calculations in terms of a basis of the typical Lie algebra, A n , B n , C n , D n , and we calculate a classical r-matrix for the elliptic Gaudin system with spin.

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, **’an, 710069, China

    Cao Li-ke, Liang Hong, Peng Dan-tao, Yang Tao & Yue Rui-hong

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  1. Cao Li-ke
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  2. Liang Hong
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  3. Peng Dan-tao
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  4. Yang Tao
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  5. Yue Rui-hong
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Correspondence to Peng Dan-tao.

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Cao, Lk., Liang, H., Peng, Dt. et al. Construction of the elliptic gaudin system based on Lie algebra. Front. Phys. China 2, 234–237 (2007). https://doi.org/10.1007/s11467-007-0030-7

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  • DOI: https://doi.org/10.1007/s11467-007-0030-7

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