# On one loop corrections in higher spin gravity

## TL;DR

This paper develops a method to compute one-loop corrections in higher spin gravity theories holographically dual to free vector models, providing evidence for the relationship between bulk coupling shifts and $1/N$ corrections.

## Contribution

It introduces a novel approach to calculate one-loop four-point amplitudes in higher spin gravity via tree-level amplitudes and discusses implications for the bulk coupling constant.

## Key findings

- Computed double-particle cuts using tree-level amplitudes.
- Provided evidence for the shift in bulk coupling constant related to $1/N$ corrections.
- Supported the holographic duality with new computational insights.

## Abstract

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop diagrams by expressing them in terms of tree level four-point amplitudes. We then discuss how the remaining contributions to the complete one-loop diagram can be computed. With certain assumptions we find nontrivial evidence for the shift in the identification of the bulk coupling constant and $1/N$ in accordance with the previously established result for the vacuum energy.