AdS$_7$/CFT$_6$ with orientifolds

TL;DR

This paper extends the holographic duality between AdS$_7$ solutions and 6D SCFTs to include orientifold planes, showing agreement in the $a$ anomaly and proposing an $a$-theorem for RG flows.

Contribution

It introduces AdS$_7$ solutions with O6 and O8-planes, linking them to new quiver gauge theories with SO and USp groups, and matches their anomalies with supergravity calculations.

Findings

Agreement of $a$ anomaly between supergravity and field theory.

Construction of AdS$_7$ vacua with nonperturbative F-theory configurations.

Proposal of a holographic $a$-theorem for 6D RG flows.

Abstract

AdS$_7$ solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional $(1,0)$ SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their $a$ conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the $a$ anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS$_7$ vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic $a$-theorem for six-dimensional Higgs branch RG flows.