Four-point functions in large $N$ Chern-Simons fermionic theories

Abstract

We compute all four-point functions involving the operators $J_0$ and $J_1$ in large-$N$ Chern-Simons fermionic theories, in the regime where all external momenta lie along the $z$-axis. We find that our result for $⟨J_0{J}_0{J}_0{J}_0⟩$ agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.

arXiv comment21 pages, updated references

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• Constraining momentum space correlators using slightly broken higher spin symmetry
• Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Anyonic correlation functions in Chern-Simons matter theories
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• The Hilbert Space of large $N$ Chern-Simons matter theories
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• On correlation functions as higher-spin invariants
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory