Minimal Basis for Gauge Theory Amplitudes

TL;DR

This paper demonstrates that gauge theory amplitudes can be expressed in a minimal basis of (n-3)! amplitudes using monodromy relations from string theory, applicable across dimensions and polarization choices.

Contribution

It establishes a minimal basis for gauge theory amplitudes derived from string theory monodromy identities, generalizing previous results.

Findings

Gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes.

The minimal basis holds for any polarization and in any number of dimensions.

String theory monodromy relations underpin the derivation of these amplitude relations.

Abstract

Identities based on monodromy for integrations in string theory are used to derive relations between different color ordered tree-level amplitudes in both bosonic and supersymmetric string theory. These relations imply that the color ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes. This result holds for any choice of polarizations of the external states and in any number of dimensions.