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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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 |
_version_ |
1725641417217277952 |