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

@article{Manashov2016HigherspinCI, title={Higher-spin currents in the Gross-Neveu model at 1/n2}, author={Alexander N. Manashov and Evgeny D. Skvortsov}, journal={Journal of High Energy Physics}, year={2016}, volume={2017}, pages={1-20} }

A bstractWe calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the 1/n2 order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on AdS4. 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.

## 23 Citations

Higher spin currents in the critical O(N) vector model at 1/N2

- Physics
- 2017

A bstractWe calculate the anomalous dimensions of higher spin singlet currents in the critical O(N ) vector model at order 1/N2. The results are shown to be in agreement with the four-loop…

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- 2017

A bstractWe compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators…

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A bstractChern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N . In…

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A bstractIn this note, we compute the higher spin spectrum of U(M)k Chern-Simons theory coupled to N flavours of fundamental fermions, in the limit N ≫ M with the ’t Hooft coupling λM=Nkm$$…

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- Physics
- 2017

Large-N, ϵ -expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional…

Easy-plane QED3’s in the large Nf limit

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe consider Quantum Electrodynamics in 2 + 1 dimensions with Nf fermionic or bosonic flavors, allowing for interactions that respect the global symmetry U(Nf/2)2. There are four bosonic and…

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- Physics
- 2017

Large-$N$, $\epsilon$-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to…

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- Physics
- 2021

We explore a class of CFT’s with higher spin currents and charges. Away from the free or N = ∞ limit the non-conservation of currents is governed by operators built out of the currents themselves,…

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

- Physics
- 2018

A bstractImplications of inserting a conformal, monodromy line defect in three dimensional O(N) models are studied. We consider then the WF O(N) model, and study the two-point Green’s function for…

Higher Spin Operators in Conformal Field Theories

- Physics
- 2018

In this thesis we study higher spin operators in conformal field theories with weakly broken higher spin symmetry. Exact higher spin symmetry is known to be very constraining, containing the usual…

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