Affine Toda field theories with defects

Bowcock, P.; Corrigan, E.; Zambon, C.

doi:10.1088/1126-6708/2004/01/056

Affine Toda field theories with defects

Bowcock, P.; Corrigan, E.; Zambon, C.

Authors

Dr Peter Bowcock peter.bowcock@durham.ac.uk
Associate Professor

E. Corrigan

Dr Cristina Zambon cristina.zambon@durham.ac.uk
Assistant Professor

Abstract

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 charges are also preserved after the addition of contributions from the defect. This fact is illustrated by noting how defects may preserve a modified form of just one of the spin 2 or spin -2 charges but not both of them.

Citation

Bowcock, P., Corrigan, E., & Zambon, C. (2004). Affine Toda field theories with defects. Journal of High Energy Physics, 2004(01), Article 056. https://doi.org/10.1088/1126-6708/2004/01/056

Journal Article Type	Article
Publication Date	Jan 1, 2004
Deposit Date	Apr 24, 2007
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Electronic ISSN	1029-8479
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2004
Issue	01
Article Number	056
DOI	https://doi.org/10.1088/1126-6708/2004/01/056
Keywords	Field theories in lower dimensions, Integrable field theories.