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

Understand

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.