Quantum anomalies in Ar(1) Toda theories with defects

Penati, Silvia; Polvara, Davide

Abstract

We study quantum integrability of ane Toda theories with a line of defect. In particular, we focus on the problem of constructing quantum higher-spin conserved currents in models dened by two A(1) r Toda theories separated by a non-trivial type-I defect. For a suitable choice of the defect potential these theories are known to be classically integrable, that is they possess an innite set of higher-spin conserved charges in involution. Studying the corresponding conservation laws at quantum level we discover that anomalies arise, which we compute exactly at all orders in the coupling constant. While for the stress-energy tensor these anomalies can be cancelled by a nite renormalization of the defect potential, we nd that from the rst non-trivial higher-spin current this is no longer possible. This opens the question whether these theories are indeed integrable at quantum level.

Citation

Penati, S., & Polvara, D. (2019). Quantum anomalies in Ar(1) Toda theories with defects. Journal of High Energy Physics, 2019(6), Article 62. https://doi.org/10.1007/jhep06%282019%29062

• Journal Article Type: Article
• Acceptance Date: May 27, 2019
• Online Publication Date: Jun 14, 2019
• Publication Date: Jun 14, 2019
• Deposit Date: Jun 26, 2019
• Publicly Available Date: Jun 26, 2019
• 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: 2019
• Issue: 6
• Article Number: 62
• DOI: https://doi.org/10.1007/jhep06%282019%29062
• Public URL: https://durham-repository.worktribe.com/output/1328015
• Related Public URLs: https://arxiv.org/abs/1902.10690