Scattering off of Twistorial Line Defects

TL;DR

This paper extends the chiral algebra bootstrap framework to include scattering processes involving charged sources in twistorial 4d QFTs, specifically analyzing gluon scattering off a self-dual dyon using advanced twistor space techniques.

Contribution

It generalizes the chiral algebra bootstrap to incorporate charged sources and develops a novel approach using holomorphic gauge theories on non-Hausdorff twistor space.

Findings

Reproduces a recent formula for gluon scattering off a self-dual dyon.

Extends the Koszul duality construction to non-Hausdorff twistor space.

Provides a new framework for analyzing scattering in twistorial theories with sources.

Abstract

The recently devised chiral algebra bootstrap computes the form factors of a special class of ``twistorial'' 4d QFTs as correlation functions of the theory's 2d celestial chiral algebra. Examples of twistorial theories include self-dual Yang-Mills theory coupled to special massless matter content, and certain form factors in these theories are equivalent to a subset of MHV amplitudes in massless QCD, coupled to the same matter. In this paper, we extend the chiral algebra bootstrap to include scattering in the presence of charged sources, using a self-dual dyon in a twistorial theory as our main example. Self-dual theories in the presence of such sources lift to holomorphic gauge theories on non-Hausdorff twistor space, and we generalize the Koszul duality construction of Costello and Paquette to this setting. With this approach, we easily reproduce a recent formula of Adamo, Bogna, Mason, and Sharma for $n$-point MHV scattering of gluons off the self-dual dyon.