A new integral formula for supersymmetric scattering amplitudes in three dimensions

TL;DR

This paper introduces a novel integral formula for all tree-level scattering amplitudes in N=6 supersymmetric Chern-Simons theory, inspired by twistor string theory, linking amplitudes to algebraic curves in complex projective space.

Contribution

It presents a new integral formula for supersymmetric scattering amplitudes in three dimensions, extending twistor string concepts to Chern-Simons theory.

Findings

Formula relates (2k)-point amplitudes to degree (k-1) curves in CP^{k-1}

Resembles known formulas in N=4 super Yang-Mills theory

Provides a geometric interpretation of scattering amplitudes

Abstract

We propose a new integral formula for all tree-level scattering amplitudes of N=6 supersymmetric Chern-Simons theory. It resembles the Roiban-Spradlin-Volovich-Witten formula for N=4 supersymmetric Yang-Mills theory based on a twistor string theory formulation. Our formula implies that the (2k)-point tree-level amplitude is closely related to degree (k-1) curves in CP^{k-1}.