# Towards the higher point holographic momentum space amplitudes II: Gravitons

## TL;DR

This paper develops a simplified momentum space formalism for calculating higher point graviton amplitudes in AdS4, making complex Witten diagram computations more manageable and revealing connections to flat space limits.

## Contribution

It introduces a novel approach to compute higher point graviton Witten diagrams by reducing them to scalar factors in momentum space, extending previous work on vector bosons.

## Key findings

- Simplified calculation of higher point graviton correlators in AdS4.
- Explicit higher point graviton amplitude computations.
- Enhanced understanding of flat space and collinear limits in AdS/CFT.

## Abstract

In this follow up paper, we calculate higher point tree level graviton Witten diagrams in AdS$_4$ via bulk perturbation theory. We show that by rearranging the bulk to bulk graviton propagators, the calculations effectively reduce to the computation of a scalar factor. Analogous to the amplitudes for vector boson interactions we computed in the previous paper, scalar factors for the graviton exchange diagrams also become relatively simple when written in momentum space. We explicitly calculate higher point correlators and discuss how this momentum space formalism makes flat space and collinear limits simpler.