2007/03/31 by Vladimir Kazakov, Alexander Sorin, Anton Zabrodin · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1016/j.nuclphysb.2007.06.025
published as Nucl.Phys.B790:345-413,2008 · Minor changes: misprints fixed, references added
arxiv created 2007/08/18 · arxiv updated 2009/12/01
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.