Gravity as the square of Yang-Mills: implications for N=8 Supergravity

TL;DR

This paper explores the relationship between gravity and Yang-Mills theories, deriving a compact N=8 Supergravity Lagrangian from the squared Yang-Mills framework, highlighting a novel structural connection.

Contribution

It presents a new derivation of the N=8 Supergravity Lagrangian based on the squared Yang-Mills approach, providing insights into the theory's structure.

Findings

Gravity can be expressed as the square of Yang-Mills theory.

Derived a compact light-cone superspace Lagrangian for N=8 Supergravity.

Established a structural link between gravity and gauge theories.

Abstract

The pure gravity Lagrangian can be written as the "square" of the pure Yang-Mills Lagrangian to second order in coupling constants. This paper uses this form of the gravity Lagrangian as a starting point to arrive at a compact light-cone superspace Lagrangian for N=8 Supergravity to order $\kappa$^2.