Generalized string theory mapping relations between gravity and gauge theory

TL;DR

This paper extends the KLT relations between gravity and gauge theories within the effective field theory framework, revealing new diagrammatic relations and exploring gravitational couplings to antisymmetric fields.

Contribution

It introduces a generalized mapping between gravity and Yang-Mills effective Lagrangians and operator relations, expanding the understanding of their interconnections at the tree level.

Findings

Discovery of diagrammatic relations linking gravity and Yang-Mills diagrams

Generalized operator relations between gauge and gravity theories

Potential for mixed open-closed string solutions in gravitational couplings

Abstract

A previous study of the Kawai, Lewellen and Tye (KLT) relations between gravity and gauge theories, imposed by the relationship of closed and open strings, are here extended in the light of general relativity and Yang-Mills theory as effective field theories. We discuss the possibility of generalizing the traditional KLT mapping in this effective setting. A generalized mapping between the effective Lagrangians of gravity and Yang-Mills theory is presented, and the corresponding operator relations between gauge and gravity theories at the tree level are further explored. From this generalized mapping remarkable diagrammatic relations are found, -- linking diagrams in gravity and Yang-Mills theory, -- as well as diagrams in pure effective Yang-Mills theory. Also the possibility of a gravitational coupling to an antisymmetric field in the gravity scattering amplitude is considered, and shown to allow for mixed open-closed string solutions, i.e., closed heterotic strings.