Anomalous dimensions of higher spin currents in large N CFTs

• 疋田, 泰章

• Wada, Taiki

抄録

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.

収録刊行物

• Journal of High Energy Physics

  Journal of High Energy Physics 2017 032-, 2017-01

  Springer Nature

キーワード

• AdS-CFT Correspondence
• Conformal Field Theory
• Higher Spin Symmetry

詳細情報

• CRID: 1050845760771254784
• NII論文ID: 120005980949
• ISSN: 10298479
• DOI: 10.1007/jhep01(2017)032
• HANDLE: 2433/218565
• Web Site: http://link.springer.com/content/pdf/10.1007/JHEP01(2017)032.pdf
• 本文言語コード: en
• 資料種別: journal article
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