Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs

TL;DR

This paper explores the compactification of 5d rank 1 $E_{N_f+1}$ SCFTs to 3d on Riemann surfaces, proposing new 3d theories based on recent higher-dimensional insights and testing their properties.

Contribution

It conjectures new 3d $ abla$ theories from 5d SCFTs compactified on Riemann surfaces, extending the understanding of dimensional reduction and dualities.

Findings

Proposes 3d theories from 5d SCFT compactifications.

Uses recent progress in 6d and 5d SCFTs to inform 3d models.

Tests conjectured theories against expected properties.

Abstract

Many interesting phenomena in quantum field theory such as dualities and symmetry enhancements can be understood using higher dimensional constructions. In this paper, we study compactifications of the rank $1$ $5d$ Seiberg $E_{N_f+1}$ SCFTs to $3d$ on Riemann surfaces of genus $g>1$. We rely on the recent progress in the study of compactifications of $6d$ SCFTs to $4d$ and torus compactifications of $5d$ SCFTs to conjecture $3d$ $\mathcal{N}=2$ theories corresponding to the reduction of said $5d$ SCFTs on three punctured spheres. These can then be used to build $3d$ $\mathcal{N}=2$ models corresponding to compactifications on more general surfaces. The conjectured theories are tested by comparing their properties against those expected from the compactification picture.