Comments on orientifold projection in the conifold and SO x USp duality cascade

TL;DR

This paper investigates the effects of orientifold projections on the conifold and duality cascades, demonstrating the persistence of supergravity solutions and analyzing the duality in string theory frameworks.

Contribution

It provides a detailed analysis of orientifold projections in the conifold, establishing their correspondence between type IIB and type IIA string theories and confirming the survival of key supergravity solutions.

Findings

Supergravity solutions of Klebanov-Tseytlin and Klebanov-Strassler survive the orientifold projection.

The orientifold projection corresponds to an O4-plane in the dual type IIA theory.

The analysis extends to generalized conifolds, confirming the features of the O4-projection.

Abstract

We study the O3-plane in the conifold. On the D3-brane world-volume we obtain SO x USp gauge theory that exhibits a duality cascade phenomenon. The orientifold projection is determined on the type IIB string side, and corresponds to that of O4-plane on the dual type IIA side. We show that SUGRA solutions of Klebanov-Tseytlin and Klebanov-Strassler survive under the projection. We also investigate the orientifold projection in the generalized conifolds, and verify desired features of the O4-projection in the type IIA picture.