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Quantum anomalies in Ar(1) Toda theories with defects

Penati, Silvia; Polvara, Davide

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Authors

Silvia Penati

Davide Polvara



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
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
Related Public URLs https://arxiv.org/abs/1902.10690

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

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





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