Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics

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dc.creatorKazakov, Vladimir
dc.creatorSorin, Alexander
dc.creatorZabrodin, Anton
dc.date2007-03-15
dc.date2007-08-18
dc.date.accessioned2026-07-07T11:03:17Z
dc.date.available2026-07-07T11:03:17Z
dc.descriptionWe 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.
dc.descriptionMinor changes: misprints fixed, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0703147
dc.identifierhttp://arxiv.org/abs/hep-th/0703147
dc.identifierNucl.Phys.B790:345-413,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.06.025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188539
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleSupersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
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