A new class of integrable defects

Abstract

An alternative Lagrangian definition of an integrable defect is provided and analyzed. The new approach is sufficiently broad to allow a description of defects within the Tzitzeica model, which was not possible in previous approaches, and may be generalizable. New, two-parameter, sine-Gordon defects are also described, which have characteristics resembling a pair of 'fused' defects of a previously considered type. The relationship between these defects and Backlund transformations is described and a Hamiltonian description of integrable defects is proposed.

24 pages

References in corpus (4)

• Some aspects of jump-defects in the quantum sine-Gordon model
• Solving topological defects via fusion
• On purely transmitting defects in affine Toda field theory
• Comments on defects in the a_r Toda field theories

Cited by in corpus (21)

• A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
• Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
• Sigma models in the presence of dynamical point-like defects
• Defects in the discrete non-linear Schrodinger model
• Defect scaling Lee-Yang model from the perturbed DCFT point of view
• Classical impurities associated to high rank algebras
• Type-II defects in the super-Liouville theory
• Gauge Miura and Backlund Transformations for Generalized $A_n$-KdV Hierarchies
• Common Hirota Form Bäcklund Transformation for the Unified Soliton System
• Jumps and twists in affine Toda field theories
• Boundary Symmetry Breaking in CFT and the String Order Parameter
• Tree level integrability in 2d quantum field theories and affine Toda models
• Generalized Backlund transformations for Affine Toda Hierarchies
• Type-I integrable quantum impurities in the Heisenberg model
• Aspects of defects in integrable quantum field theory
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• The sine-Gordon model in the presence of defects
• Twisted Affine Integrable Hierarchies and Soliton Solutions
• Time-dependent defects in integrable soliton equations
• New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations
• Fusing defect for the N=2 super sinh-Gordon model