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Article Dans Une Revue Nuclear Physics B Année : 2008

Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics

Résumé

We show that eigenvalues of the family of Baxter Q-operators for supersymmetric integrable spin chains constructed with the gl(K|M)-invariant $R$-matrix obey the Hirota bilinear difference equation. The nested Bethe ansatz for super spin chains, with any choice of simple root system, is then treated as a discrete dynamical system for zeros of polynomial solutions to the Hirota equation. Our basic tool is a chain of Backlund transformations for the Hirota equation connecting quantum transfer matrices. This approach also provides a systematic way to derive the complete set of generalized Baxter equations for super spin chains.

Dates et versions

hal-00717894 , version 1 (13-07-2012)

Identifiants

Citer

Vladimir Kazakov, Alexander Sorin, Anton Zabrodin. Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Nuclear Physics B, 2008, 790, pp.345-413. ⟨10.1016/J.NUCLPHYSB.2007.06.025⟩. ⟨hal-00717894⟩
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