We propose a holographic duality for a four dimensional Wess-Zumino-Witten model with
target manifold SO (8), coupled to scalar-flat Kähler gravity on an asymptotically flat, four …

A bstract We elaborate on various aspects of our top-down celestial holographic duality
wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler …

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These lecture notes concern the semi-holomorphic 4D Chern–Simons theory and its
applications to classical integrable field theories in 2D and in particular integrable sigma …

We explain how twistor theory represents the self-dual sector of four dimensional gravity in
terms of the loop group of Poisson diffeomorphisms of the plane via Penrose's non-linear …

The most well-known methods for the exact analysis of boundary value problems for linear
PDEs are the methods of (a) classical transforms,(b) images, and (c) Green's function …

Abstract In 1974 Ablowitz, Kaup, Newell, Segur (AKNS) put forward a theoretical framework
whereby one can construct evolution equations that are (i) integrable in the sense of …

A bstract Recent works have explored how scattering amplitudes in quantum self-dual Yang-
Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first …

A bstract The celestial Lw 1+∞ symmetries in asymptotically flat spacetimes have a natural
geometric interpretation on twistor space in terms of Poisson diffeomorphisms. Using this …

We give two double copy prescriptions which construct asymptotically flat solutions in gravity
from asymptotically flat gauge fields. The first prescription applies to radiative fields, which …