Jumps and twists in affine Toda field theories
arXiv:1407.7777 · doi:10.1016/j.nuclphysb.2015.02.002
Abstract
The concept of point-like "jump" defects is investigated in the context of affine Toda field theories. The Hamiltonian formulation is employed for the analysis of the problem. The issue is also addressed when integrable boundary conditions ruled by the classical twisted Yangian are present. In both periodic and boundary cases explicit expressions of conserved quantities as well as the relevant Lax pairs and sewing conditions are extracted. It is also observed that in the case of the twisted Yangian the bulk behavior is not affected by the presence of the boundaries.
arXiv comment19 pages, Latex. A few comments added. Version to appear in NPB. arXiv admin note: text overlap with arXiv:1404.7329
References in corpus (36)
- Classically integrable boundary conditions for affine Toda field theories
- Affine Toda field theory on a half line
- 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
- Reflection-Transmission Algebras
- Affine Toda field theories with defects
- Bulk and Boundary S Matrices for the SU(N) Chain
- Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories
- Quantum spin chain with "soliton non-preserving" boundary conditions
- On purely transmitting defects in affine Toda field theory
- On a systematic approach to defects in classical integrable field theories
- Duality and quantum-algebra symmetry of the A_{N-1}^(1) open spin chain with diagonal boundary fields
- Liouville integrable defects: the non-linear Schrodinger paradigm
- Type-II Bäcklund Transformations via Gauge Transformations
- A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
- The quantum non-linear Schrodinger model with point-like defect
- A multisymplectic approach to defects in integrable classical field theory
- A new class of integrable defects
- On a_2^(1) Reflection Matrices and Affine Toda Theories
- Semiclassical analysis of defect sine-Gordon theory
- Comments on defects in the a_r Toda field theories
- The sine-Gordon model with integrable defects revisited
- Sigma models in the presence of dynamical point-like defects
- Defects in the discrete non-linear Schrodinger model
- Boundary Lax pairs for the Toda field theories
- An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
- Inverse scattering approach for massive Thirring models with integrable type-II defects
- Classical impurities associated to high rank algebras
- affine Toda field theories with integrable boundary conditions revisited
- Type-I integrable quantum impurities in the Heisenberg model
- Transmission amplitudes from Bethe ansatz equations
- Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains