hide
Free keywords:
Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
Abstract:
We propose the operatorial form of Baxter's TQ-relations in a general form of
the operatorial B\"acklund flow describing the nesting process for the
inhomogeneous rational gl(K|M) quantum (super)spin chains with twisted periodic
boundary conditions. The full set of Q-operators and T-operators on all levels
of nesting is explicitly defined. The results are based on a generalization of
the identities among the group characters and their group co-derivatives with
respect to the twist matrix, found by one of the authors and P.Vieira
[V.Kazakov and P.Vieira, JHEP 0810 (2008) 050 [arXiv:0711.2470]]. Our formalism
allows a systematic and rather straightforward derivation of the whole set of
nested Bethe ansatz equations for the spectrum of quantum integrable spin
chains, starting from the R-matrix.
