Chern-Simons Matter Theories and Higher Spin Gravity

Abstract

We 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 of the free boson, free fermion, critical vector model and Gross-Neveu model are reproduced including the dependence on the Chern-Simons coupling. We also perform a simple test of the modified higher spin equations proposed in arXiv:1605.02662 [hep-th] and find that the results are consistent with the AdS/CFT correspondence.

arXiv comment39 pages; minor corrections and refs added

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• From Coxeter Higher-Spin Theories to Strings and Tensor Models
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• On the Local Frame in Nonlinear Higher-Spin Equations
• Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations
• On holomorphic sector of higher-spin theory
• Test of the local form of higher-spin equations via AdS/CFT
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Spin-Locality of ${\eta }^2$ and ${\bar{\eta }}^2$ Quartic Higher-Spin Vertices
• On current contribution to Fronsdal equations
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
• ABJ Quadrality
• On unfolded off-shell formulation for higher-spin theory
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Planar solutions of higher-spin theory I: free field level
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Three-point functions of conserved currents in 3D CFT: general formalism for arbitrary spins
• Constraining higher-spin S-matrices
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Three-point functions of conserved supercurrents in 3D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter