Twistorial monopoles & chiral algebras

Niklas Garner; Natalie M. Paquette

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arXiv · 2305.00049

Twistorial monopoles & chiral algebras

Niklas Garner·Natalie M. Paquette

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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.

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Niklas Garner, Natalie M. Paquette. 2023-04-28. Twistorial monopoles & chiral algebras. https://arxiv.org/abs/2305.00049

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