The sine-Gordon model with integrable defects revisited

Abstract

Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditions on the defect point consistent with Liouville integrability.

24 pages Latex. Minor modifications, added comments

References in corpus (4)

• Quantum and classical integrable sine-Gordon model with defect
• Solving topological defects via fusion
• On purely transmitting defects in affine Toda field theory
• Boundary Lax pairs for the $A_n^{(1)}$ Toda field theories

Cited by in corpus (4)

• Soliton defects in one-gap periodic system and exotic supersymmetry
• 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
• Transmission amplitudes from Bethe ansatz equations