λ-Deformations of left–right asymmetric CFTs

λ-Deformations of left–right asymmetric CFTs

We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-tr...

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Main Authors: George Georgiou, Konstantinos Sfetsos, Konstantinos Siampos
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316303832
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spelling doaj-a78e7d7ba26f4cc7a7b87066189b9b382020-11-24T23:00:42ZengElsevierNuclear Physics B0550-32131873-15622017-01-01914C62364110.1016/j.nuclphysb.2016.11.022λ-Deformations of left–right asymmetric CFTsGeorge Georgiou0Konstantinos Sfetsos1Konstantinos Siampos2Institute 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, Athens 15784, GreeceAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics/Laboratory for High-Energy Physics, University of Bern, Sidlerstrasse 5, CH3012 Bern, SwitzerlandWe compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in λ two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.http://www.sciencedirect.com/science/article/pii/S0550321316303832
collection DOAJ
language English
format Article
sources DOAJ
author George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
spellingShingle George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
λ-Deformations of left–right asymmetric CFTs
Nuclear Physics B
author_facet George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
author_sort George Georgiou
title λ-Deformations of left–right asymmetric CFTs
title_short λ-Deformations of left–right asymmetric CFTs
title_full λ-Deformations of left–right asymmetric CFTs
title_fullStr λ-Deformations of left–right asymmetric CFTs
title_full_unstemmed λ-Deformations of left–right asymmetric CFTs
title_sort λ-deformations of left–right asymmetric cfts
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-01-01
description We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in λ two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.
url http://www.sciencedirect.com/science/article/pii/S0550321316303832
work_keys_str_mv AT georgegeorgiou ldeformationsofleftrightasymmetriccfts
AT konstantinossfetsos ldeformationsofleftrightasymmetriccfts
AT konstantinossiampos ldeformationsofleftrightasymmetriccfts
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