Momentum conserving defects in affine Toda field theories

Bristow, Rebecca; Bowcock, Peter

Abstract

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.

Citation

Bristow, R., & Bowcock, P. (2017). Momentum conserving defects in affine Toda field theories. Journal of High Energy Physics, 2017(5), Article 153. https://doi.org/10.1007/jhep05%282017%29153

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2017
• Issue: 5
• Article Number: 153
• DOI: https://doi.org/10.1007/jhep05%282017%29153
• Public URL: https://durham-repository.worktribe.com/output/1357155