We consider deformations of a conformal field theory that explicitly break some global symmetries of the theory. If the deformed theory is still a conformal field theory, one can exploit the constraints put by conformal symmetry to compute broken currents anomalous dimensions. We consider several instances of this scenario, using field theory techniques and also holographic ones, where necessary. Field theoretical methods suffice to discuss examples of symmetry-breaking deformations of the O(N) model in d = 4-epsilon dimensions. Holography is instrumental, instead, for computing current anomalous dimensions in beta-deformed superconformal field theories and in a class of supersymmetric renormalization group flows at large N. © 2017 American Physical Society

Broken current anomalous dimensions, conformal manifolds, and renormalization group flows / Bashmakov, Vladimir; Bertolini, Matteo; Raj, Himanshu. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 95:6(2017), pp. 1-14. [10.1103/PhysRevD.95.066011]

Broken current anomalous dimensions, conformal manifolds, and renormalization group flows

Bashmakov, Vladimir;Bertolini, Matteo;Raj, Himanshu
2017-01-01

Abstract

We consider deformations of a conformal field theory that explicitly break some global symmetries of the theory. If the deformed theory is still a conformal field theory, one can exploit the constraints put by conformal symmetry to compute broken currents anomalous dimensions. We consider several instances of this scenario, using field theory techniques and also holographic ones, where necessary. Field theoretical methods suffice to discuss examples of symmetry-breaking deformations of the O(N) model in d = 4-epsilon dimensions. Holography is instrumental, instead, for computing current anomalous dimensions in beta-deformed superconformal field theories and in a class of supersymmetric renormalization group flows at large N. © 2017 American Physical Society
2017
95
6
1
14
066011
https://arxiv.org/abs/1609.09820
http://cdsads.u-strasbg.fr/abs/2017PhRvD..95f6011B
Bashmakov, Vladimir; Bertolini, Matteo; Raj, Himanshu
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/47871
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