Folding defect affine Toda field theories

Abstract

A folding process is applied to fused a^(1)_r defects to construct defects for the non-simply laced affine Toda field theories of c^(1)_n, d^(2)_n and a^(2)_2n at the classical level. Support for the hypothesis that these defects are integrable in the folded theories is provided by the observation that transmitted solitons retain their form. Further support is given by the demonstration that energy and momentum are conserved.

arXiv commentShortened. 5 figures, 1 table. References added

References in corpus (22)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Quantum Solitons in Affine Toda Field Theories
• Classically integrable boundary conditions for affine Toda field theories
• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Classically integrable field theories with defects
• Affine Toda Solitons and Vertex Operators
• Purely Transmitting Defect Field Theories
• Quantum and classical integrable sine-Gordon model with defect
• Some aspects of jump-defects in the quantum sine-Gordon model
• Affine Toda Solitons and Automorphisms of Dynkin Diagrams
• Type-II Bäcklund Transformations via Gauge Transformations
• A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
• Coupling integrable field theories to mechanical systems at the boundary
• Multi--Soliton Solutions of Affine Toda Models
• Comments on defects in the a_r Toda field theories
• The sine-Gordon model with integrable defects revisited
• Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
• The Topological Charges of the $a_n^{(1)}$ Affine Toda Solitons
• Non-canonical folding of Dynkin diagrams and reduction of affine Toda theories
• On the Breathers of $a_n^{(1)}$ Affine Toda Field Theory
• On the Topological Charges of Affine Toda Solitons
• Infinite dimension reflection matrices in the sine-Gordon model with a boundary

Cited by in corpus (12)

• Classical integrable defects as quasi Bäcklund transformations
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Type-II defects in the super-Liouville theory
• Gauge Miura and Backlund Transformations for Generalized $A_n$-KdV Hierarchies
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Integrability of generalised type II defects in affine Toda field theory
• Generalized Backlund transformations for Affine Toda Hierarchies
• Defect fusing rules in affine Toda field theory
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• Integrable Defects at Junctions within a Network
• Twisted Affine Integrable Hierarchies and Soliton Solutions
• Fusing defect for the N=2 super sinh-Gordon model