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Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4560

Tsuboi,  Zengo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1010.4022
(Preprint), 330KB

CMP1428-9.pdf
(beliebiger Volltext), 1016KB

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Zitation

Kazakov, V., Leurent, S., & Tsuboi, Z. (2012). Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains. Communications in Mathematical Physics, 311, 787-814. doi:10.1007/s00220-012-1428-9.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0012-CE69-9
Zusammenfassung
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.