Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2017)106
Keywords
1/N Expansion; Conformal Field Theory; Higher Spin Symmetry
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [MO 1801/1-2, SFB/TRR 55]
- Russian Science Foundation [14-42-00047]
- DFG Transregional Collaborative Research Centre [TRR 33]
- Lebedev Physical Institute
- DFG cluster of excellence Origin and Structure of the Universe
- Russian Science Foundation [17-42-00002] Funding Source: Russian Science Foundation
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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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