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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

Jihwan Oh , Junya Yagi This is my paper · ORCID
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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Cited by 3 Pith papers

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  1. Poisson vertex algebras in supersymmetric field theories

    hep-th 2019-08 conditional novelty 6.0 of 10

    Local operators in topological-holomorphic sectors of N=2 supersymmetric theories form a d-shifted Poisson vertex algebra, whose classical limit reproduces known vertex algebras in the conformal case.

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    hep-th 2024-11 conditional novelty 5.0 of 10

    Twisted holography is conjectured to extend from orbifolds to orientifolds, with bulk duals given by unoriented or oriented topological strings on SL2C/Γ, where orientifold data is encoded by a spin structure.

  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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