Sigma models in the presence of dynamical point-like defects

Anastasia Doikou, Nikos Karaiskos

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


Point-like Liouville integrable dynamical defects are introduced in the context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin) models. Based primarily on the underlying quadratic algebra we identify the first local integrals of motion, the associated Lax pairs as well as the relevant sewing conditions around the defect point. The involution of the integrals of motion is shown taking into account the sewing conditions.
Original languageEnglish
Pages (from-to)872–886
Number of pages15
JournalNuclear Physics B
Issue number3
Publication statusPublished - 21 Feb 2013


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


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