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arXiv · 2010.02267

Comments on chiral algebras and $\Omega$-deformations

Nikolay Bobev·Pieter Bomans·Fridrik Freyr Gautason
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Abstract

Every six-dimensional $\mathcal{N}=(2,0)$ SCFT on $\mathbf{R}^6$ contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this chiral algebra by performing an $\Omega$-deformation~of a topological-holomorphic twist of the $\mathcal{N}=(2,0)$ theory on $\mathbf{R}^6$ and restricting to the cohomology of a specific supercharge. In addition, we show that the central charge of the chiral algebra can be obtained by performing equivariant integration of the anomaly polynomial of the six-dimensional theory. Furthermore, we generalize this construction to include orbifolds of the $\mathbf{R}^4$ transverse to the chiral algebra plane.

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Nikolay Bobev, Pieter Bomans, Fridrik Freyr Gautason. 2020-10-05. Comments on chiral algebras and $\Omega$-deformations. https://doi.org/10.1007/jhep04(2021)132

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