Constraining momentum space correlators using slightly broken higher spin symmetry

TL;DR

This paper develops momentum space Ward identities from broken higher spin symmetry to compute correlators of spinning operators in interacting theories, providing a new approach that works beyond conformal fixed points.

Contribution

It introduces an alternative method using higher spin equations to calculate correlators in various kinematic regimes, including mass-deformed theories, extending beyond traditional Feynman diagram techniques.

Findings

Derived momentum space Ward identities for broken higher spin symmetry.

Computed parity even and odd correlators in general kinematics.

Validated results against existing literature and extended to non-conformal settings.

Abstract

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic and quasi-bosonic theories. The direct Feynman diagram approach to computing correlation functions is intricate and in general has been performed only in specific kinematic regimes. We use higher spin equations to obtain the parity even and parity odd contributions to two-, three- and four-point correlators involving spinning and scalar operators in a general kinematic regime, and match our results with existing results in the literature for cases where they are available. One of the interesting facts about higher spin equations is that one can use them away from the conformal fixed point. We illustrate this by considering mass deformed free boson theory and solving for two-point functions of spinning operators using higher spin equations.