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Title: Anomalous dimensions of higher spin currents in large N CFTs
Authors: Hikida, Yasuaki
Wada, Taiki
Author's alias: 疋田, 泰章
Keywords: AdS-CFT Correspondence
Conformal Field Theory
Higher Spin Symmetry
Issue Date: Jan-2017
Publisher: Springer Nature
Journal title: Journal of High Energy Physics
Volume: 2017
Thesis number: 32
Abstract: We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the type A and type B Vasiliev theories, respectively. We reproduce the known results on the anomalous dimensions to the leading order in 1/N by using conformal perturbation theory. This work can be regarded as an extension of previous work on the critical O(N) scalars in 3 dimensions, where it was shown that the bulk computation for the masses of higher spin fields on AdS4 can be mapped to the boundary one in conformal perturbation theory. The anomalous dimensions of the both theories agree with each other up to an overall factor depending only on d, and we discuss the coincidence for d = 3 by utilizing N=2N=2 supersymmetry.
Rights: © The Author(s) 2017
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP01(2017)032
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