2 8 M ay 2 00 7 Bäcklund transformations for difference Hirota equation and supersymmetric Bethe ansatz ∗
نویسنده
چکیده
We consider GL(K|M)-invariant integrable supersymmetric spin chains with twisted boundary conditions and elucidate the role of Bäcklund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. The nested Bethe ansatz technique is shown to be equivalent to a chain of successive Bäcklund transformations " undressing " the original problem to a trivial one.
منابع مشابه
Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
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...
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