# Affine Toda field theories with defects

@article{Bowcock2004AffineTF, title={Affine Toda field theories with defects}, author={Peter Bowcock and E Corrigan and C Zambon}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={056} }

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…

## 92 Citations

### Momentum conserving defects in affine Toda field theories

- PhysicsJournal of High Energy Physics
- 2017

Type 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 existence of a…

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- Biology
- 2015

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

- PhysicsJournal of High Energy Physics
- 2019

We 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 by two…

### Quantum anomalies in Ar(1) Toda theories with defects

- PhysicsJournal of High Energy Physics
- 2019

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

- Mathematics
- 2017

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…

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- MathematicsJournal of High Energy Physics
- 2017

The 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 associated with…

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- Physics
- 2009

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.…

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- Physics
- 2007

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…

### ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES

- Mathematics
- 2008

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…

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