We study quantum integrability of affine Toda theories with a line of defect. In particular, we focus on the problem of constructing quantum higher-spin conserved currents in models defined by two Ar(1) 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 infinite 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 finite renormalization of the defect potential, we find that from the first non-trivial higher-spin current this is no longer possible. This opens the question whether these theories are indeed integrable at quantum level.

Penati, S., Polvara, D. (2019). Quantum anomalies in Ar(1) Toda theories with defects. JOURNAL OF HIGH ENERGY PHYSICS, 2019(6) [10.1007/JHEP06(2019)062].

Quantum anomalies in Ar(1) Toda theories with defects

Penati S.
Membro del Collaboration Group
;
2019

Abstract

We study quantum integrability of affine Toda theories with a line of defect. In particular, we focus on the problem of constructing quantum higher-spin conserved currents in models defined by two Ar(1) 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 infinite 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 finite renormalization of the defect potential, we find that from the first non-trivial higher-spin current this is no longer possible. This opens the question whether these theories are indeed integrable at quantum level.
Articolo in rivista - Articolo scientifico
Anomalies in Field and String Theories; Field Theories in Lower Dimensions; Integrable Field Theories; Nonperturbative Effects
English
2019
2019
6
62
open
Penati, S., Polvara, D. (2019). Quantum anomalies in Ar(1) Toda theories with defects. JOURNAL OF HIGH ENERGY PHYSICS, 2019(6) [10.1007/JHEP06(2019)062].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/252661
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