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The exact $C$-function in integrable $\lambda$-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 inte...

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Detalles Bibliográficos
Autores principales: Georgiou, George, Panopoulos, Pantelis, Sagkrioti, Eftychia, Sfetsos, Konstantinos, Siampos, Konstantinos
Lenguaje:eng
Publicado: 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2018.06.023
http://cds.cern.ch/record/2317222
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author Georgiou, George
Panopoulos, Pantelis
Sagkrioti, Eftychia
Sfetsos, Konstantinos
Siampos, Konstantinos
author_facet Georgiou, George
Panopoulos, Pantelis
Sagkrioti, Eftychia
Sfetsos, Konstantinos
Siampos, Konstantinos
author_sort Georgiou, George
collection CERN
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.
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language eng
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spelling cern-23172222021-05-04T07:19:36Zdoi:10.1016/j.physletb.2018.06.023http://cds.cern.ch/record/2317222engGeorgiou, GeorgePanopoulos, PantelisSagkrioti, EftychiaSfetsos, KonstantinosSiampos, KonstantinosThe exact $C$-function in integrable $\lambda$-deformed theoriesnlin.SINonlinear Systemsmath.MPMathematical Physics and Mathematicsmath-phMathematical Physics and Mathematicshep-thParticle Physics - TheoryBy 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.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.arXiv:1805.03731CERN-TH-2018-104oai:cds.cern.ch:23172222018-05-09
spellingShingle nlin.SI
Nonlinear Systems
math.MP
Mathematical Physics and Mathematics
math-ph
Mathematical Physics and Mathematics
hep-th
Particle Physics - Theory
Georgiou, George
Panopoulos, Pantelis
Sagkrioti, Eftychia
Sfetsos, Konstantinos
Siampos, Konstantinos
The exact $C$-function in integrable $\lambda$-deformed theories
title The exact $C$-function in integrable $\lambda$-deformed theories
title_full The exact $C$-function in integrable $\lambda$-deformed theories
title_fullStr The exact $C$-function in integrable $\lambda$-deformed theories
title_full_unstemmed The exact $C$-function in integrable $\lambda$-deformed theories
title_short The exact $C$-function in integrable $\lambda$-deformed theories
title_sort exact $c$-function in integrable $\lambda$-deformed theories
topic nlin.SI
Nonlinear Systems
math.MP
Mathematical Physics and Mathematics
math-ph
Mathematical Physics and Mathematics
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2018.06.023
http://cds.cern.ch/record/2317222
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