Sigma models in the presence of dynamical point-like defects

Anastasia Doikou; Nikos Karaiskos

doi:10.1016/j.nuclphysb.2012.10.016

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arXiv · 1207.5503

Sigma models in the presence of dynamical point-like defects

Anastasia Doikou·Nikos Karaiskos

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Abstract

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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Anastasia Doikou, Nikos Karaiskos. 2012-11-04. Sigma models in the presence of dynamical point-like defects. https://doi.org/10.1016/j.nuclphysb.2012.10.016

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