Affine Toda field theories with defects

  title={Affine Toda field theories with defects},
  author={Peter Bowcock and Edward Corrigan and C. Zambon},
  journal={Journal of High Energy Physics},
A lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on ar(1) data appear to allow defects preserving integrability. Surprisingly, despite the explicit breaking of Lorentz and translation invariance, modified forms of both energy and momentum are conserved. Some, but apparently not all, of the higher spin conserved… 

Momentum conserving defects in affine Toda field theories

A bstractType II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the

On defects in affine Toda field theory

This thesis outlines methods for generating new integrable defects in affine Toda field theory. These methods are grounded in the hypothesis that defects have a particle-like classification with as

Quantum anomalies in Ar(1) Toda theories with defects

A bstractWe study quantum integrability of affine Toda theories with a line of defect. In particular, we focus on the problem of constructing quantum higher-spin conserved currents in models defined

Integrability of generalised type II defects in affine Toda field theory

A bstractThe Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities

Comments on defects in the ar Toda field theories

A simple, basic argument is given, based solely on energy–momentum considerations, to recover conditions under which ar affine or conformal Toda field theories can support defects of integrable type.

On purely transmitting defects in affine Toda field theory

Affine Toda field theories with a purely transmitting integrable defect are considered and the model based on a2 is analysed in detail. After providing a complete characterization of the problem in a


We present an inverse scattering approach to defects in classical integrable field theories. Integrability is proved systematically by constructing the generating function of the infinite set of

Folding defect affine Toda field theories

A folding process is applied to fused ar(1)?> defects to construct defects for the non-simply laced affine Toda field theories of cn(1)?>, dn(2)?> and a2n(2)?> at the classical level. Support for the



Solitons in affine Toda field theories

Classically integrable field theories with defects

Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example

Topological solitons in Ar affine Toda theory

On the topological charges of the affine toda solitons

This thesis investigates the two dimensional, integrable field theories known as the affine Toda field theories, which are based on the Kac-Moody algebras with zero central extension. In particular,

Classically integrable boundary conditions for affine Toda field theories

Recent Developments in Affine Toda Quantum Field Theory

It is not intended to give a detailed review of all the recent activities in the area of Toda field theory, but rather to highlight some of the interesting developments, and to point out some of the

Quantum corrections to the classical reflection factor of the sinh-Gordon model

This thesis studies the quantum reflection factor of the sinh-Gordon model under boundary conditions consistent with integrability. First, we review the affine Toda field theory in Chapter One. In

Coupling integrable field theories to mechanical systems at the boundary

We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a