# Ambitwistor strings and reggeon amplitudes in N=4 SYM

## TL;DR

This paper uses four-dimensional ambitwistor string theory to derive scattering equations for reggeon amplitudes in N=4 SYM, successfully reproducing known Grassmannian integral representations at tree level.

## Contribution

It introduces a string-theoretic approach to describe reggeon amplitudes in N=4 SYM, connecting ambitwistor strings with Grassmannian formulations.

## Key findings

- Derived scattering equations representation for reggeon amplitudes.
- Reproduced Grassmannian integral representation using string correlation functions.
- Validated the approach at tree level for multiple reggeized gluons.

## Abstract

We consider the description of reggeon amplitudes (Wilson lines form factors) in N=4 SYM within the framework of four dimensional ambitwistor string theory. The latter is used to derive scattering equations representation for reggeon amplitudes with multiple reggeized gluons present. It is shown, that corresponding tree-level string correlation function correctly reproduces previously obtained Grassmannian integral representation of reggeon amplitudes in N=4 SYM.