Sigma models in the presence of dynamical point-like defects

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.

19 pages, Latex; Clarifications and references added; Published version

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Cited by in corpus (14)

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• Defect scaling Lee-Yang model from the perturbed DCFT point of view
• Classical impurities associated to high rank algebras
• Finite volume form factors in the presence of integrable defects
• Type-II defects in the super-Liouville theory
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• N=1 super sinh-Gordon model with defects revisited
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Type-I integrable quantum impurities in the Heisenberg model
• Jumps and twists in affine Toda field theories
• Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
• A note on gl_N type-I integrable defects
• Transmission amplitudes from Bethe ansatz equations
• Lax pair formulation in the simultaneous presence of boundaries and defects