Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-15
Nucl.Phys.B790:345-413,2008
Physics
High Energy Physics
High Energy Physics - Theory
Minor changes: misprints fixed, references added
Scientific paper
10.1016/j.nuclphysb.2007.06.025
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.
Kazakov Vladimir
Sorin Alexander
Zabrodin Anton
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