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 ϕ 4 theory in 4 − 2ϵ 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.
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Manashov, A.N., Skvortsov, E.D. & Strohmaier, M. Higher spin currents in the critical O(N) vector model at 1/N 2 . J. High Energ. Phys. 2017, 106 (2017). https://doi.org/10.1007/JHEP08(2017)106
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DOI: https://doi.org/10.1007/JHEP08(2017)106