Chiral holography

TL;DR

This paper constructs a gravitational holographic dual for the self-dual sector of N=4 super Yang-Mills theory using twistor string theory, providing insights into zero coupling holography and correlator computations.

Contribution

It introduces a top-down holographic dual at zero 't Hooft coupling based on twistor string theory and generalizes the D-instanton prescription for scattering amplitudes.

Findings

Correlators of determinant operators are dual to giant graviton configurations.

The holographic dictionary extends D-brane and D-instanton techniques.

Provides a new example of holography at zero coupling.

Abstract

Using twistor string theory, we engineer a gravitational holographic dual of the self-dual sector of $\mathcal{N}=4$ super Yang-Mills theory. This provides a top-down example of holography at zero 't Hooft coupling. Our holographic dictionary operates at the level of D-branes wrapping twistor lines and generalizes the D-instanton prescription used to compute scattering amplitudes. As an application, we study the correlators of determinant operators that act as generating functions of half-BPS operators in the self-dual theory. We show that these correlators are dual to configurations of giant gravitons in the bulk.