Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes

TL;DR

This paper explores monodromy relations in gauge theory amplitudes, introduces Jacobi-like relations compatible with them, and demonstrates their applications to supergravity and loop-level identities.

Contribution

It presents a novel way to incorporate Jacobi-like relations with monodromy relations and applies these to supergravity amplitudes and loop-level identities.

Findings

Jacobi-like relations are compatible with monodromy relations

Tree-level relations lead to non-trivial loop-level identities

Applications to supergravity amplitudes via KLT-relations

Abstract

We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level.