Brane webs in the presence of an $O5^-$-plane and 4d class S theories of type D

TL;DR

This paper proposes a conjecture linking 5d SCFTs engineered via 5-brane webs with O5^- planes to 4d class S theories of type D, supported by evidence including central charge comparisons.

Contribution

It introduces a novel conjecture relating 5d SCFTs from brane webs with 4d class S theories of type D, providing evidence and potential identifications between different theories.

Findings

Evidence supports the conjectured relationship.

Identifications between class S theories are suggested.

Central charge comparisons validate the conjecture.

Abstract

In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the former leads to the latter. We present evidence for this conjecture. One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. This can in turn be tested by comparing their central charges.