5d Trinions and Tetraons

TL;DR

This paper extends the classification of 5d SCFTs by constructing trinions and tetraons with D-type flavor symmetry using M-theory geometric engineering, revealing new symmetry patterns and complex geometries.

Contribution

It introduces a geometric engineering approach to construct 5d trinions and tetraons with D-type flavor symmetry, expanding the understanding of 5d SCFTs and their fusion patterns.

Findings

Constructed 5d trinions and tetraons with D-type flavor symmetry.

Identified non-toric, non-complete intersection geometries from fusion.

Ruled out E-type trinions and tetraons in this setup.

Abstract

Recently, an atomic classification scheme of 5d SCFTs has been proposed, relying on the identification of indecomposable building blocks that can be fused together to produce large classes of 5d SCFTs. These novel SCFTs are known as bifundamental 5d conformal matter theories, and their fusion produces linear generalized quivers. We generalize such picture employing M-theory geometric engineering to construct trinions and tetraon 5d SCFTs with flavor symmetry of type D. They correspond to non-linear generalized quivers displaying novel patterns of instantonic symmetry enhancement, and their fusion produces singular geometries that often are non-toric non-complete intersections. Finally, within our setup, we rule out trinions and tetraons of type E.