Twistorial monopoles & chiral algebras
Abstract
We initiate the study of how the insertion of magnetically charged states in 4d self-dual gauge theories impacts the 2d chiral algebras supported on the celestial sphere at asymptotic null infinity, from the point of view of the 4d/2d twistorial correspondence introduced by Costello and the second author. By reducing the 6d twistorial theory to a 3d holomorphic-topological theory with suitable boundary conditions, we can motivate certain non-perturbative enhancements of the celestial chiral algebra corresponding to extensions by modules arising from 3d boundary monopole operators. We also identify the insertion of 4d (non-abelian) monopoles with families of spectral flow automorphisms of the celestial chiral algebra.
Cite
@article{arxiv.2305.00049,
title = {Twistorial monopoles & chiral algebras},
author = {Niklas Garner and Natalie M. Paquette},
journal= {arXiv preprint arXiv:2305.00049},
year = {2023}
}
Comments
43+1 pages; v2 added references and a discussion of modules arising from holomorphic Wilson lines; v3 minor revisions, corrected error in section 3.2.3; comments welcome!