String theory and the mapping of gravity into gauge theory

TL;DR

This paper explores a fundamental link between gravity and gauge theories by mapping effective operators in general relativity to those in non-abelian Yang-Mills theory, based on string theory amplitude relations.

Contribution

It establishes a direct factorization of gravity amplitudes into products of Yang-Mills amplitudes at the effective Lagrangian level, revealing new operator mappings.

Findings

Gravity amplitudes factor into Yang-Mills amplitudes

Derived mappings of gravity operators to Yang-Mills operators

Discussed implications for field operator relations

Abstract

The relationship between on-shell tree level scattering amplitudes of open and closed strings, discovered some time ago by Kawai, Lewellen and Tye, is used at field theory level (at $O(\alpha'^3)$) to establish a link between the general relativity and the non-abelian Yang-Mills effective actions. Insisting at the effective Lagrangian level that any tree $N$ point gravity on-shell scattering amplitude is directly factorisable into a sum of $N$ point left-right products of non-abelian Yang-Mills tree on-shell scattering amplitudes, non-trivial mappings of the effective general relativity operators into the effective non-abelian Yang-Mills operators are derived. Implications of such mapping relations of the field operators are discussed.