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

TL;DR

This paper calculates all four-point functions involving specific operators in large N Chern-Simons fermionic theories with momenta along the z-axis, confirming previous results and aligning with bootstrap predictions.

Contribution

It provides a comprehensive computation of four-point functions in a specific large N Chern-Simons fermionic setup, extending prior work and validating bootstrap expectations.

Findings

Agreement of $raket{J_0 J_0 J_0 J_0}$ with previous results

Other correlators match bootstrap expectations

Results are obtained in a specific momentum regime

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 $\langle J_0 J_0 J_0 J_0 \rangle$ agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.