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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...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
2018
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Acceso en línea: | https://dx.doi.org/10.1016/j.physletb.2018.06.023 http://cds.cern.ch/record/2317222 |
_version_ | 1780958275459612672 |
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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. |
id | cern-2317222 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2018 |
record_format | invenio |
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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