Trinions for the 3d compactification of the 5d rank 1 $$ {E}_{N_{f+1}} $$ SCFTs

Abstract

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 $$ {E}_{N_{f+1}} $$ 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$$ \mathcal{N} $$ N = 2 theories corresponding to the reduction of said 5d SCFTs on three punctured spheres. These can then be used to build 3d$$ \mathcal{N} $$ 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.