Anomalies and O-plane charges in orientifolded brane tilings

TL;DR

This paper explores the properties of orientifolded brane tilings, focusing on anomaly cancellations, D5-brane charge conservation, and the relation to Calabi-Yau cones, providing new insights into gauge theories and dual geometries.

Contribution

It clarifies how anomaly cancellations are ensured by D5-brane charge conservation and introduces two types of flavor D5-branes with corresponding superpotentials.

Findings

Gauge anomaly and Witten's anomaly are guaranteed by D5-brane charge conservation.

Two types of flavor D5-branes and their superpotentials are proposed.

Massless quark loci reproduce flavor D7-brane worldvolumes in dual Calabi-Yau cones.

Abstract

We investigate orientifold of brane tilings. We clarify how the cancellations of gauge anomaly and Witten's anomaly are guaranteed by the conservation of the D5-brane charge. We also discuss the relation between brane tilings and the dual Calabi-Yau cones realized as the moduli spaces of gauge theories. Two types of flavor D5-branes in brane tilings and corresponding superpotentials of fundamental quark fields are proposed, and it is shown that the massless loci of these quarks in the moduli space correctly reproduce the worldvolume of flavor D7-branes in the Calabi-Yau cone dual to the fivebrane system.