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Momentum conserving defects in affine Toda field theories

Bristow, Rebecca; Bowcock, Peter

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Rebecca Bristow


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 conserved momentum in the presence of the defect. In addition it is shown that for any Lagrangian satisfying this condition, the defect equations of motion, when taken to hold everywhere, can be extended to give a Bäcklund transformation between the bulk theories on either side of the defect. This strongly suggests that such systems are integrable. Momentum conserving defects and Bäcklund transformations for affine Toda field theories based on the An, Bn, Cn and Dn series of Lie algebras are found. The defect associated with the D4 affine Toda field theory is examined in more detail. In particular classical time delays for solitons passing through the defect are calculated.


Bristow, R., & Bowcock, P. (2017). Momentum conserving defects in affine Toda field theories. Journal of High Energy Physics, 2017(5), Article 153.

Journal Article Type Article
Acceptance Date May 20, 2017
Online Publication Date May 30, 2017
Publication Date May 30, 2017
Deposit Date Jun 20, 2017
Publicly Available Date Jun 22, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 5
Article Number 153


Published Journal Article (549 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons<br /> Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in<br /> any medium, provided the original author(s) and source are credited.

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