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 (18)

• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Purely Transmitting Defect Field Theories
• Statistical Models with a Line of Defect
• Quantum and classical integrable sine-Gordon model with defect
• Some aspects of jump-defects in the quantum sine-Gordon model
• Scattering in the Presence of a Reflecting and Transmitting Impurity
• Affine Toda field theories with defects
• Solving topological defects via fusion
• Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories
• From Defects to Boundaries
• On purely transmitting defects in affine Toda field theory
• Equivalences between spin models induced by defects
• On a systematic approach to defects in classical integrable field theories
• Liouville integrable defects: the non-linear Schrodinger paradigm
• Type-II Bäcklund Transformations via Gauge Transformations
• Semiclassical analysis of defect sine-Gordon theory
• Defects in the discrete non-linear Schrodinger model
• Boundary Lax pairs for the $A_n^{(1)}$ Toda field theories

Cited by in corpus (22)

• A multisymplectic approach to defects in integrable classical field theory
• On the Inverse Scattering Method for Integrable PDEs on a Star Graph
• Soliton defects in one-gap periodic system and exotic supersymmetry
• Folding defect affine Toda field theories
• Momentum conserving defects in affine Toda field theories
• Multisymplectic approach to integrable defects in the sine-Gordon model
• Defect scaling Lee-Yang model from the perturbed DCFT point of view
• Finite volume form factors in the presence of integrable defects
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Type-II defects in the super-Liouville theory
• N=1 super sinh-Gordon model with defects revisited
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Integrability of generalised type II defects in affine Toda field theory
• Defect fusing rules in affine Toda field theory
• Jumps and twists in affine Toda field theories
• N=1 super sinh-Gordon model in the half line: Breather solutions
• Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
• Transmission amplitudes from Bethe ansatz equations
• Integrable Defects at Junctions within a Network
• Lax pair formulation in the simultaneous presence of boundaries and defects
• Type II defects revisited
• Time-dependent defects in integrable soliton equations