Sigma models in the presence of dynamical point-like defects

Doikou, Anastasia; Karaiskos, Nikos

doi:10.1016/j.nuclphysb.2012.10.016

arXiv 2012-07-23 DOI 10.1016/j.nuclphysb.2012.10.016 0 views

Sigma models in the presence of dynamical point-like defects

Doikou, Anastasia · Karaiskos, Nikos

High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems

Original · EN

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.

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