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arXiv · 1706.09256

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

A. N. Manashov·E. D. Skvortsov·M. Strohmaier
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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.

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A. N. Manashov, E. D. Skvortsov, M. Strohmaier. 2017-06-28. Higher spin currents in the critical $O(N)$ vector model at $1/N^2$. https://doi.org/10.1007/jhep08(2017)106

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