The structure of interaction vertices in pure gravity in the light-cone gauge

TL;DR

This paper derives and analyzes the structure of interaction vertices in pure gravity within the light-cone gauge, revealing the form of 6-point vertices and the role of symmetries in constraining all vertices.

Contribution

It provides the first explicit form of non-MHV 6-point interaction vertices in light-cone gravity and explains their structure using symmetry arguments.

Findings

Explicit 6-point interaction vertices derived

Symmetry constraints on all vertices established

Discussion of MHV vertices within the formalism

Abstract

The first truly non-MHV interaction vertices in the light-cone formulation of pure gravity appear at order 6. From a closed form expression, for gravitation in the light-cone gauge, we extract and present all 6-point interaction vertices. We invoke symmetry arguments to explain the structure of these vertices. Symmetry considerations also allow us to place constraints on the structure of all even- and odd-point vertices in the theory. The origin of MHV vertices within this formalism is also discussed.