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  Superconformal algebras and holomorphic field theories

Saberi, I., & Williams, B. R. (2023). Superconformal algebras and holomorphic field theories. Annales Henri Poincaré, 24(2), 541-604. doi:10.1007/s00023-022-01224-7.

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1910.04120.pdf (Preprint), 655KB
 
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 Creators:
Saberi, Ingmar, Author
Williams, Brian R.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematical Physics, High Energy Physics - Theory, Mathematics, Quantum Algebra
 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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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1910.04120
DOI: 10.1007/s00023-022-01224-7
 Degree: -

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Title: Annales Henri Poincaré
Source Genre: Journal
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Publ. Info: Birkhäuser
Pages: - Volume / Issue: 24 (2) Sequence Number: - Start / End Page: 541 - 604 Identifier: -