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Journal of the Physical Society of Japan

Classical Poisson Bracket Algebra and Quantum Affine Gaudin Model

Asesh Roy Chowdhury, A. Ghose Chowdhury

Published Jan 15, 1994• 13 citations
Publisher

Abstract

We have analysed an affine Gaudin Model with the help of a L -operator with entries belonging to affine Gaudin algebra. It is observed that the usual classical r -matrix does not exist, but an extended version due to Maillet and Vega (called the ( r - s ) algebra) can be defined. The subsequent quadratic algebra of the monodromy matrices are then used to set up the Algebraic Bethe Ansatz for the model. Relation to other similar model are discussed.

DOI
10.1143/jpsj.63.1

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