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Chiral algebras from \Omega-deformation

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arxiv 1903.11123 v3 pith:VHXGXAJ7 submitted 2019-03-26 hep-th

classification hep-th
keywords chiralalgebrafieldmathcaltheoryalgebrasbeemcovers
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abstract

In the presence of an $\Omega$-deformation, local operators generate a chiral algebra in the topological-holomorphic twist of a four-dimensional $\mathcal{N} = 2$ supersymmetric field theory. We show that for a unitary $\mathcal{N} = 2$ superconformal field theory, the chiral algebra thus defined is isomorphic to the one introduced by Beem et al. Our definition of the chiral algebra covers nonconformal theories with insertions of suitable surface defects.

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  1. 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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