Description
The Higgs Branch of Superconformal Field Theories (SCFTs) with 8 supercharges is a notoriously intricate object to characterize. While the magnetic quiver framework has recently provided a powerful indirect description - by relating Higgs branches of theories with 8 supercharges to the Coulomb branches of auxiliary 3d N=4 theories - a direct geometric understanding remains elusive.
In this talk we study 5d N=1 SCFTs engineered via M-theory on non-compact Calabi-Yau threefolds, where the Higgs branch corresponds to the space of normalizable complex structure deformations of the threefold.
Focusing on simple classes of Calabi-Yau threefolds with non-isolated singularities, we show how key features of the Higgs branch can be captured in a purely geometric fashion, demonstrating precise agreement with expectations from brane webs and magnetic quivers. This framework might provide new insights on the geometric origin of magnetic quivers.
Focusing on simple classes of Calabi-Yau threefolds with non-isolated singularities, we show how key features of the Higgs branch can be captured in a purely geometric fashion, demonstrating precise agreement with expectations from brane webs and magnetic quivers. This framework might provide new insights on the geometric origin of magnetic quivers.