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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 1, Pages 74–93
DOI: https://doi.org/10.4213/tmf6194 (Mi tmf6194) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz

A. V. Zabrodinab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Institute of biochemical physics of the Russian Academy of Sciences
Full-text PDF (557 kB) Citations (26)
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DOI: https://doi.org/10.4213/tmf6194
Abstract: We consider $GL(K\mid M)$-invariant integrable supersymmetric spin chains with twisted boundary conditions and demonstrate the role of Bäcklund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. We show that the nested Bethe ansatz technique is equivalent to a chain of successive Bäcklund transformations "undressing" the original problem to a trivial one.
Keywords: integrable nonlinear difference equation, Bäcklund transformation, integrable supersymmetric spin chain, Bethe ansatz.
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 1, Pages 567–584
DOI: https://doi.org/10.1007/s11232-008-0047-2
Bibliographic databases:
Language: Russian
Citation: A. V. Zabrodin, “Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz”, TMF, 155:1 (2008), 74–93; Theoret. and Math. Phys., 155:1 (2008), 567–584
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6194
  • https://www.mathnet.ru/eng/tmf/v155/i1/p74
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:52
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