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

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-CE69-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-8FF6-5
Genre: Journal Article

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1010.4022 (Preprint), 330KB
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 Creators:
Kazakov, Vladimir, Author
Leurent, Sebastien, Author
Tsuboi, Zengo1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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.

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 Dates: 2010-10-192012
 Publication Status: Published in print
 Pages: 27 pages, 3 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1010.4022
DOI: 10.1007/s00220-012-1428-9
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 311 Sequence Number: - Start / End Page: 787 - 814 Identifier: ISSN: 0010-3616
CoNE: /journals/resource/954925392313