The exact C-function in integrable λ-deformed theories

The exact C-function in integrable λ-deformed theories

By employing CFT techniques, we show how to compute in the context of λ-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 integr...

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Main Authors: George Georgiou, Pantelis Panopoulos, Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318304714
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spelling doaj-df035d8d5f114e6884c2dd6824afecf22020-11-24T20:59:26ZengElsevierPhysics Letters B0370-26932018-07-01782613618The exact C-function in integrable λ-deformed theoriesGeorge Georgiou0Pantelis Panopoulos1Eftychia Sagkrioti2Konstantinos Sfetsos3Konstantinos Siampos4Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, Greece; Institute of Nuclear and Particle Physics, National Center for Scientific Research Demokritos, Ag. Paraskevi, GR-15310 Athens, GreeceDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, GreeceDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, GreeceDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, GreeceTheoretical Physics Department, CERN, 1211 Geneva 23, Switzerland; Corresponding author.By employing CFT techniques, we show how to compute in the context of λ-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.http://www.sciencedirect.com/science/article/pii/S0370269318304714
collection DOAJ
language English
format Article
sources DOAJ
author George Georgiou
Pantelis Panopoulos
Eftychia Sagkrioti
Konstantinos Sfetsos
Konstantinos Siampos
spellingShingle George Georgiou
Pantelis Panopoulos
Eftychia Sagkrioti
Konstantinos Sfetsos
Konstantinos Siampos
The exact C-function in integrable λ-deformed theories
Physics Letters B
author_facet George Georgiou
Pantelis Panopoulos
Eftychia Sagkrioti
Konstantinos Sfetsos
Konstantinos Siampos
author_sort George Georgiou
title The exact C-function in integrable λ-deformed theories
title_short The exact C-function in integrable λ-deformed theories
title_full The exact C-function in integrable λ-deformed theories
title_fullStr The exact C-function in integrable λ-deformed theories
title_full_unstemmed The exact C-function in integrable λ-deformed theories
title_sort exact c-function in integrable λ-deformed theories
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-07-01
description By employing CFT techniques, we show how to compute in the context of λ-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.
url http://www.sciencedirect.com/science/article/pii/S0370269318304714
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