Higher spin currents in the critical O(N) vector model at 1/N-2

Manashov, A. N. and Skvortsov, E. D. and Strohmaier, M. (2017) Higher spin currents in the critical O(N) vector model at 1/N-2. JOURNAL OF HIGH ENERGY PHYSICS (8): 106. ISSN 1029-8479,

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Abstract

We calculate the anomalous dimensions of higher spin singlet currents in the critical O(N) vector model at order 1/N-2. The results are shown to be in agreement with the four-loop perturbative computation in phi(4) theory in 4-2 epsilon dimensions. It is known that the order 1/N anomalous dimensions of higher-spin currents happen to be the same in the Gross-Neveu and the critical vector model. On the contrary, the order 1/N-2 corrections are different. The results can also be interpreted as a prediction for the two-loop computation in the dual higher-spin gravity.

Item Type: Article
Uncontrolled Keywords: NONLINEAR SIGMA-MODEL; GROSS-NEVEU MODEL; ANOMALOUS DIMENSIONS; COMPOSITE-OPERATORS; EXPONENT-ETA; ORDER; EXPANSION; RENORMALIZATION; ADS; 1/N Expansion; Conformal Field Theory; Higher Spin Symmetry
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:15
Last Modified: 18 Feb 2019 14:53
URI: https://pred.uni-regensburg.de/id/eprint/1366

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