Integrability vs. RG flow in G x G and G x G/H sigma models
File(s)
Author(s)
Levine, Nat
Tseytlin, Arkady A
Type
Journal Article
Abstract
We consider a class of 2d σ-models on products of group spaces that provide new examples of a close connection between integrability and stability under the RG flow. We first study the integrable G × G model derived from the affine Gaudin construction (for which the 1-loop β-functions were found in arXiv:2010.07879) and show that its condition of integrability is preserved also by the 2-loop RG flow. We then investigate the RG flow in the gauged G × G/H model, in particular the integrable T1,1 model found in arXiv:2010.05573. We also construct a new class of integrable G × G/H models in the case when the subgroup H is abelian. In the simplest case of G = SU2, H = U1 this leads to an integrable σ-model on the T1,q space (with a particular B-field). This model is also shown to be stable under the 2-loop RG flow, and we relate this property to its invariance under T-duality in an isometric U1 direction. This T1,q model may be interpreted as an integrable deformation of the GMM model (of two coupled WZW theories with generic levels) away from the conformal point.
Date Issued
2021-05-11
Date Acceptance
2021-04-22
Citation
The Journal of High Energy Physics, 2021, 2021 (5), pp.1-32
ISSN
1029-8479
Publisher
Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Start Page
1
End Page
32
Journal / Book Title
The Journal of High Energy Physics
Volume
2021
Issue
5
Copyright Statement
© The Authors. Open Access . 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.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000655545800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Integrable Field Theories
Renormalization Group
Sigma Models
2-LOOP BETA-FUNCTION
DIMENSIONAL REGULARIZATION
CURRENT-ALGEBRA
DUALITY
COMPACTIFICATIONS
WZW
Publication Status
Published
Article Number
ARTN 76
Date Publish Online
2021-05-11