Integrable boundary conditions and modified Lax equations

Jean Avan, Anastasia Doikou

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.
Original languageEnglish
Pages (from-to)591–612
Number of pages22
JournalNuclear Physics B
Volume800
Issue number3
DOIs
Publication statusPublished - 11 Sep 2008

Keywords

  • hep-th
  • math-ph
  • math.MP
  • math.QA
  • nlin.SI

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