$S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs

TL;DR

This paper explores the compactification of certain 6d $ abla(1,0)$ SCFTs on circles and tori, revealing their realization via 5-brane webs and class S theories, and verifies this through central charge calculations.

Contribution

It demonstrates a novel connection between 6d $ abla(1,0)$ theories, 5-brane webs, and class S theories, extending previous results with new verification methods.

Findings

Realization of 6d theories via 5-brane webs

Connection to class S theories for 4d compactifications

Verification through conformal and flavor central charges

Abstract

We consider the circle and torus compactification of a certain subclass of 6d $\mathcal{N}=(1,0)$ SCFTs which are Higgsable to the higher rank E-string theories. Using the T-duality between Type I' and Type IIB, we found that the $S^1$ compactification of the theories can be realized by 5-brane webs describing the 5d uplifting of a specified class S theory, generalizing the result by Benini, Benvenuti and Tachikawa. We checked the above result by calculating conformal and flavor central charges of the 4d torus compactified theory both from the tensor branch structure of the 6d theory and from the predicted class S description.