From Quivers to Geometry: 5d Conformal Matter
Antoine Bourget, Mario De Marco, Michele Del Zotto, Julius F. Grimminger, Andrea Sangiovanni
TL;DR
This paper demonstrates that all 5d balanced ADE-shaped quivers without Chern-Simons levels can be completed to 5d conformal matter SCFTs, with explicit geometric realizations in M-theory.
Contribution
It provides a unified geometric framework for 5d conformal matter SCFTs derived from ADE quivers, linking them to Calabi-Yau threefolds and class-S theories.
Findings
Explicit Calabi-Yau threefolds for each model
Systematic analysis of Higgs Branch properties
Connections to class-S and affine Grassmannian
Abstract
We show that all 5d balanced (ADE-shaped) special unitary quivers with no Chern-Simons level admit a UV completion which is a 5d conformal matter SCFT. We give explicit local Calabi-Yau threefolds realizing each of these models in M-theory. This unified description enables a systematic exploration of their physical properties, such as their Higgs Branch, as well as connections to class-S constructions and the affine Grassmannian.
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