The exact $C$-function in integrable $\lambda$-deformed theories
High Energy Physics - Theory
2019-12-24 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
By employing CFT techniques, we show how to compute in the context of \lambda-deformations of current algebras and coset CFTs the exact in the deformation parameters C-function for a wide class of integrable theories that interpolate between a UV and an IR point. We explicitly consider RG flows for integrable deformations of left-right asymmetric current algebras and coset CFTs. In all cases, the derived exact C-functions obey all the properties asserted by Zamolodchikov's c-theorem in two-dimensions.
Keywords
Cite
@article{arxiv.1805.03731,
title = {The exact $C$-function in integrable $\lambda$-deformed theories},
author = {George Georgiou and Pantelis Panopoulos and Eftychia Sagkrioti and Konstantinos Sfetsos and Konstantinos Siampos},
journal= {arXiv preprint arXiv:1805.03731},
year = {2019}
}
Comments
v1: 1+15 pages, Latex, v2: PLB version, v3: Correcting a typo in footnote 6