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arXiv · 1910.04120

Superconformal algebras and holomorphic field theories

Ingmar Saberi·Brian R. Williams
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Abstract

We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The type of higher symmetry algebras we find are closely related to algebras studied by Faonte-Hennion-Kapranov, Hennion-Kapranov, and the second author with Gwilliam in the context of holomorphic QFT. We show that these algebras are related to the two-dimensional chiral algebras extracted from four-dimensional superconformal theories by Beem and collaborators; further deforming by a superconformal element induces the Koszul resolution of a plane in $\mathbb{C}^2 \cong \mathbb{R}^4$. The central charges at the level of chiral algebras arise from central extensions of the higher symmetry algebras.

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Ingmar Saberi, Brian R. Williams. 2019-10-09. Superconformal algebras and holomorphic field theories. https://arxiv.org/abs/1910.04120

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