  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.
