Celestial holography from Chiral strings

TL;DR

This paper explores the connection between celestial holography and chiral string theory, showing how chiral strings can reproduce graviton amplitudes and relate to celestial CFTs through vertex operator OPEs.

Contribution

It demonstrates that chiral strings can serve as an alternative framework for Einstein gravity and links their vertex operator OPEs to celestial CFT correlators.

Findings

Chiral strings reproduce graviton scattering amplitudes.

OPEs of chiral string vertex operators derive celestial soft theorems.

CCFT operators are obtained via Mellin transforms of chiral string vertex operators.

Abstract

In this paper, we studied the relationship between celestial holography and chiral strings. Chiral strings differ from the usual string theory by a change of boundary conditions on the string propagators. It is shown that chiral strings would reproduce graviton amplitudes and could serve as an alternative description of Einstein's gravity. Celestial holography is a proposed duality between gravity in asymptotically flat space-time and a CFT living on its conformal boundary. Since both are CFT descriptions of gravity, we investigate the potential connection between these two formalisms. In this paper, we find that both the energetic as well as conformal soft theorems could be derived from the OPEs of vertex operators of chiral strings. All operators in the CCFT can be described by Mellin transforming the vertex operators in the chiral string theories, and the OPE coefficients of CCFT can also be obtained from the world-sheet description.