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Affine Toda field theories with defects

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


E. Corrigan


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.


Bowcock, P., Corrigan, E., & Zambon, C. (2004). Affine Toda field theories with defects. Journal of High Energy Physics, 2004(01), Article 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
Keywords Field theories in lower dimensions, Integrable field theories.