5d SCFTs from $(E_n,E_m)$ Conformal Matter

TL;DR

This paper classifies five-dimensional superconformal field theories derived from six-dimensional conformal matter theories with different E-type symmetries, using geometric and algebraic methods.

Contribution

It introduces a systematic approach to derive 5d SCFTs from 6d conformal matter theories via circle reduction and mass deformations, including the construction of combined fiber diagrams.

Findings

Derived 5d SCFTs from 6d conformal matter theories.

Constructed combined fiber diagrams for these theories.

Enumerated descendant SCFTs and weakly coupled quivers.

Abstract

We determine 5d $\mathcal{N}=1$ SCFTs originating from 6d $(E_n,E_m)$ conformal matter theories with $n\neq m$ by circle reduction and mass deformations. The marginal geometries are constructed and we derive their combined fiber diagrams (CFDs). The CFDs allow for an enumeration of descendant SCFTs obtained by decoupling matter hypermultiplets and a description of candidate weakly coupled quivers.