Comments on defects in the a_r Toda field theories

Abstract

A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which a_r affine or conformal Toda field theories can support defects of integrable type. Associated triangle relations are solved to provide expressions for transmission matrices that generalize previously known examples calculated for the sine-Gordon model and the a_2 affine Toda model.

23 pages; contribution to a volume dedicated to the memory of Alexei Zamolodchikov

References in corpus (15)

• Quantum Solitons in Affine Toda Field Theories
• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Classically integrable field theories with defects
• Purely Transmitting Defect Field Theories
• Statistical Models with a Line of Defect
• Quantizing SL(N) Solitons and the Hecke Alegbra
• 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
• On purely transmitting defects in affine Toda field theory
• The quantum non-linear Schrodinger model with point-like defect
• On the absence of simultaneous reflection and transmission in integrable impurity systems
• The Topological Charges of the $a_n^{(1)}$ Affine Toda Solitons
• Finite Temperature Quantum Field Theory with Impurities

Cited by in corpus (16)

• Liouville integrable defects: the non-linear Schrodinger paradigm
• A multisymplectic approach to defects in integrable classical field theory
• A new class of integrable defects
• 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
• Folding defect affine Toda field theories
• Classical integrable defects as quasi Bäcklund transformations
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Type-I integrable quantum impurities in the Heisenberg model
• Integrability of generalised type II defects in affine Toda field theory
• Jumps and twists in affine Toda field theories
• Defect fusing rules in affine Toda field theory
• Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• The sine-Gordon model in the presence of defects