F-Theory and N=1 SCFTs in Four Dimensions

TL;DR

This paper uses F-theory to identify a class of 4d N=1 SCFTs derived from 6d (1,0) theories compactified on Riemann surfaces, linking their moduli spaces to geometric structures.

Contribution

It introduces a new subclass of 4d N=1 SCFTs from 6d theories via F-theory, connecting their moduli spaces to Riemann surface geometry and flat connections.

Findings

Identified a subclass of 6d (1,0) SCFTs leading to 4d N=1 SCFTs.

Linked the moduli space of these theories to flat ADE connections.

Provided a geometric interpretation of marginal deformations.

Abstract

Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the moduli space of the Riemann surface is part of the moduli space of the theory. In particular we argue that for a special case of these theories (dual to M5 branes probing ADE singularities), we obtain 4d N = 1 theories whose space of marginal deformations is given by the moduli space of flat ADE connections on a Riemann surface.