Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities

Understand

We study the dynamics of M-theory on isolated non-toric Calabi-Yau threefold singularities of type $(A_j,A_l)$ and $(A_k,D_n)$, engineering five-dimensional rank-zero SCFTs.

• Our approach consists in mapping these backgrounds to type IIA string theory with D6 branes at angles and O6$^{-}$ planes, computing the five-dimensional open string modes located at the brane intersections.
• This permits us to characterize the Higgs Branches of these theories as algebraic varieties, determine the flavour and gauge group and inspect subtleties related to T-branes.
• Our methods apply for all the considered singularities: we give a closed formula for the $(A_j,A_l)$ Higgs Branches, and tables for the Higgs Branches of the $(A_k,D_n)$ series.