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

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23 Citations (Scopus)

Abstract

We consider GL(K|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.

Original languageEnglish
Pages (from-to)567-584
Number of pages18
JournalTheoretical and Mathematical Physics
Volume155
Issue number1
DOIs
Publication statusPublished - Apr 2008
Externally publishedYes

Keywords

  • Bäcklund transformation
  • Bethe ansatz
  • Integrable nonlinear difference equation
  • Integrable supersymmetric spin chain

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