Penati, Silvia and Polvara, Davide (2019) 'Quantum anomalies in A r (1) Toda theories with defects.', Journal of high energy physics., 2019 (6). p. 62.
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.
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|Publisher Web site:||https://doi.org/10.1007/JHEP06(2019)062|
|Publisher 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.|
|Date accepted:||27 May 2019|
|Date deposited:||26 June 2019|
|Date of first online publication:||14 June 2019|
|Date first made open access:||No date available|
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