Integrability of generalised type II defects in affine Toda field theory

Bristow, Rebecca

Abstract

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 a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously.

Citation

Bristow, R. (2017). Integrability of generalised type II defects in affine Toda field theory. Journal of High Energy Physics, 2017(11), Article 67. https://doi.org/10.1007/jhep11%282017%29067

• Journal Article Type: Article
• Acceptance Date: Oct 30, 2017
• Online Publication Date: Nov 13, 2017
• Publication Date: Nov 13, 2017
• Deposit Date: Nov 29, 2017
• Publicly Available Date: Nov 29, 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: 11
• Article Number: 67
• DOI: https://doi.org/10.1007/jhep11%282017%29067
• Public URL: https://durham-repository.worktribe.com/output/1343522