Integrable flows between exact CFTs

Integrable flows between exact CFTs

Abstract We explicitly construct families of integrable σ-model actions smoothly inter-polating between exact CFTs. In the ultraviolet the theory is the direct product of two current algebras at levels k 1 and k 2. In the infrared and for the case of two deformation matrices the CFT involves a coset...

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Bibliographic Details
Main Authors: George Georgiou, Konstantinos Sfetsos
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
Conformal Field Models in String Theory
Conformal Field Theory
Integrable Field Theories
Sigma Models
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)078
Description
Summary:Abstract We explicitly construct families of integrable σ-model actions smoothly inter-polating between exact CFTs. In the ultraviolet the theory is the direct product of two current algebras at levels k 1 and k 2. In the infrared and for the case of two deformation matrices the CFT involves a coset CFT, whereas for a single matrix deformation it is given by the ultraviolet direct product theories but at levels k 1 and k 2 − k 1. For isotropic deformations we demonstrate integrability. In this case we also compute the exact beta-function for the deformation parameters using gravitational methods. This is shown to coincide with previous results obtained using perturbation theory and non-perturbative symmetries.
ISSN:1029-8479

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