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Twistorial monopoles & chiral algebras

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arxiv 2305.00049 v3 pith:NAKTV5MQ submitted 2023-04-28 hep-th math.QAmath.RT

Niklas Garner , Natalie M. Paquette This is my paper · ORCID
classification hep-thmath.QAmath.RT
keywords chiralcelestialtwistorialalgebraalgebrasboundaryinsertionmonopoles
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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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Cited by 3 Pith papers

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  1. Twistorial chiral algebras in higher dimensions

    hep-th 2025-01 accept novelty 7.0 of 10

    Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.

  2. Multiparticle States for the Flat Hologram

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...

  3. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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