New N=1 Superconformal Field Theories in Four Dimensions from D-brane Probes

TL;DR

This paper introduces new four-dimensional N=1 superconformal field theories derived from D-brane probes in F-theory, revealing exotic global symmetries and linking geometry to gauge dynamics.

Contribution

It provides novel examples of 4d N=1 SCFTs with exotic symmetries, constructed via threebrane probes in F-theory compactifications.

Findings

Discovery of SCFTs with non-simply laced global symmetries like F4

Geometric encoding of gauge coupling and Kähler potential behavior

New insights into the structure of 4d N=1 superconformal theories

Abstract

We present several new examples of nontrivial 4d N=1 superconformal field theories. Some of these theories exhibit exotic global symmetries, including non-simply laced groups (such as $F_4$). They are obtained by studying threebrane probes in F-theory compactifications on elliptic Calabi-Yau threefolds. The geometry of the compactification encodes in a simple way the behavior of the gauge coupling and the K\"ahler potential on the Coulomb branch of these theories.