Coulomb and Higgs branches from canonical singularities. Part I. Hypersurfaces with smooth Calabi-Yau resolutions

A bstract 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....

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Vydáno v:The journal of high energy physics Ročník 2022; číslo 4; s. 61 - 71
Hlavní autoři: Closset, Cyril, Schäfer-Nameki, Sakura, Wang, Yi-Nan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 11.04.2022
Springer Nature B.V
SpringerOpen
Témata:
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Deformation
Elementary Particles
Extended Supersymmetry
High energy physics
Hyperspaces
M theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Singularities
String Theory
Extended Supersymmetry
Conformal Field Models in String Theory
ISSN:1029-8479, 1029-8479
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Shrnutí:A bstract 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 [1] 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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2022)061