Higher-spin currents in the Gross-Neveu model at $1/n^2$

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 $Ad{S}_4$. The $AdS/CFT$ correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.

17 pages, 4 figures; replaced with the revised version

References in corpus (5)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Anomalous dimensions of high-spin operators beyond the leading order
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Classical equation of motion and Anomalous dimensions at leading order
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model

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• Chern-Simons Matter Theories and Higher Spin Gravity
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• Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
• Correction exponents in the Gross - Neveu - Yukawa model at $1/N^2$
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Towards a Bootstrap approach to higher orders of epsilon expansion
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• An all order exact result for the anomalous dimension of the scalar primary in Chern Simons Vector Models
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• The background field method and critical vector models
• CFT data in the Gross-Neveu model
• Long-range fermions and critical dualities
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• Slightly broken higher-spin current in bosonic and fermionic QED in the large-$N$ limit
• Infinite distances in multicritical CFTs and higher-spin holography
• Emergent Supersymmetry at Large $N$
• Anomalous dimensions at small spins