Top-down holography in an asymptotically flat spacetime

TL;DR

This paper introduces a holographic duality between a four-dimensional WZW model on an asymptotically flat spacetime and a two-dimensional chiral algebra, validated through correlator and amplitude matching.

Contribution

It presents a novel holographic duality involving a four-dimensional WZW model and a two-dimensional chiral algebra in an asymptotically flat setting.

Findings

Matching of two-point correlators with gluon amplitudes

Agreement of OPE coefficients with collinear gluon limits

Validation of the duality through amplitude comparisons

Abstract

We propose a holographic duality for a four dimensional WZW model with target manifold $\mathrm{SO}(8)$, coupled to scalar-flat K\"ahler gravity on an asymptotically flat, four dimensional background known as the Burns metric. The holographic dual is a two dimensional chiral algebra built out of gauged beta-gamma systems with $\mathrm{SO}(8)$ flavor. We test the duality by matching two-point correlators of soft gluon currents with two-point gluon amplitudes, and their leading OPE coefficients with collinear limits of three-point gluon amplitudes.