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High Energy Physics - Theory

arXiv:2111.13564 (hep-th)
[Submitted on 26 Nov 2021 (v1), last revised 12 Dec 2021 (this version, v2)]

Title:Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions

Authors:Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
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Abstract:Compactification of M-theory and of IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. The resolutions and deformations of the singularities encode salient features of the SCFTs and of their moduli spaces. In this paper, we build on Part 0 of this series (arXiv:2007.15600) and further explore the physics of SCFTs arising from isolated hypersurface singularities. We study in detail these canonical isolated hypersurface singularities that admit a smooth Calabi-Yau (crepant) resolution. Their 5d and 4d physics is discussed and their 3d reduction and mirrors (the magnetic quivers) are determined in many cases. As an explorative tool, we provide a Mathematica code which computes key quantities for any canonical isolated hypersurface singularity, including the 5d rank, the 4d Coulomb branch spectrum and central charges, higher-form symmetries in 4d and 5d, and crepant resolutions.
Comments: Ancillary mathematica code. 45 pages plus appendix; added references and clarifications
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.13564 [hep-th]
  (or arXiv:2111.13564v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.13564
Related DOI: https://doi.org/10.1007/JHEP04%282022%29061

Submission history

From: Cyril Closset [view email]
[v1] Fri, 26 Nov 2021 16:00:34 UTC (1,278 KB)
[v2] Sun, 12 Dec 2021 19:02:27 UTC (1,280 KB)
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