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

Abstract

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.

39 pages + appendices

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Cited by in corpus (9)

• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• Fibrations and Hasse diagrams for 6d SCFTs
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold singularities
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Flops of any length, Gopakumar-Vafa invariants, and 5d Higgs Branches
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories
• Disconnected gauge groups in the infrared
• On holographic duals of certain isolated weighted Gorenstein cDV singularities