Dualities and 5-brane webs for 5d rank 2 SCFTs

TL;DR

This paper constructs and analyzes 5-brane web diagrams for 5d rank 2 superconformal theories, revealing dualities and explicit configurations for various gauge theories including G2, Sp(2), and SU(3).

Contribution

It provides a complete set of 5-brane web diagrams for rank 2 theories and explicitly demonstrates dualities between different gauge theories with detailed parameter mappings.

Findings

Explicit 5-brane web diagrams for rank 2 theories.

Duality maps between different gauge theories.

Configurations for G2, Sp(2), and SU(3) theories.

Abstract

We consider Type IIB 5-brane configurations for 5d rank 2 superconformal theories which are classified recently by geometry in arXiv:1801.04036. We propose all the 5-brane web diagrams for these rank 2 theories and show dualities between some of different gauge theories with explicit duality map of mass parameters and Coulomb branch moduli. In particular, we explicitly construct 5-brane configurations for $G_2$ gauge theory with six flavors and its dual $Sp(2)$ and $SU(3)$ gauge theories. We also present 5-brane webs for $SU(3)$ theories of Chern-Simons level greater than 5.