The quintic interaction vertex in light-cone gravity

TL;DR

This paper derives the complete quintic interaction vertex in light-cone gravity, advancing the understanding of higher-order interactions and the off-shell extension of KLT relations.

Contribution

It provides the first explicit derivation of the quintic vertex in light-cone gravity, extending the KLT relations beyond quartic order.

Findings

Complete quintic interaction vertex derived

KLT relations made manifest up to quartic order

First step towards off-shell extension of KLT relations

Abstract

We consider pure gravity in light-cone gauge and derive the complete quintic interaction vertex. Up to quartic order, the Kawai-Lewellen-Tye (KLT) relations can be made manifest at the level of the Einstein-Hilbert Lagrangian. The quintic interaction vertex represents an essential first step in further extending the off-shell validity of the KLT relations to higher order vertices.