Higher-spin currents in the Gross-Neveu model at 1/n2

Abstract

Abstract:We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the 1/n 2 order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on AdS 4 . The AdS/CF T correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.

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

“…We also remark that the spin dependence of the LO singlet anomalous dimensions (3.13) is exactly the same as in the Gross-Neveu model, see e.g. [29,31].…”

Anomalous dimensions in the WF O(N) model with a monodromy line defect

“…11 Meaning that if we contract any two of one of these tensors' indices with eachother, it is zero. 12 Our results from section 2.1 tell us that if the bulk-local operators in the two-point correlators transform in same unbroken symmetry group, the SO(2)-spin in their bulk-defect expansions will be of the same kind, i.e. integer, half-integer or neither.…”

“…This method is later used in [7] 2 . Some notable examples of analytical developments in higher dimensional theories are [8][9][10][11][12][13][14][15][16][17], as well as numerical developments [18][19][20][21][22]. More important for this paper, are higher dimensional O(N ) models, which also have had a lot of development lately [7,[23][24][25][26][27][28][29][30][31].…”

Correction exponents in the Gross–Neveu–Yukawa model at $$1/N^2$$ 1 / N 2

“…Therefore we use a different method developed in [21][22][23]. A detailed description of the method can be found in [23,24] and an application to the GN model in [25].…”