Supersymmetric Branes on AdS_5 x Y^{p,q} and their Field Theory Duals

TL;DR

This paper explores supersymmetric D-brane embeddings in the AdS_5xY^{p,q} background, revealing new configurations and matching gauge theory predictions, thus deepening the understanding of gauge/gravity duality.

Contribution

It provides a systematic analysis of supersymmetric D-brane embeddings in AdS_5xY^{p,q}, including new configurations and stability analysis, advancing the understanding of dual gauge theories.

Findings

Recovered known three-cycle duals to dibaryonic operators

Discovered new supersymmetric D-brane embeddings

Matched BPS fluctuations with gauge theory results

Abstract

We systematically study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS_5xY^{p,q} background of type IIB string theory. The main technique employed is the kappa symmetry of the probe's worldvolume theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the gauge theory and we also find a new family of supersymmetric embeddings. The BPS fluctuations of dibaryons are analyzed and shown to match the gauge theory results. Supersymmetric configurations of D5-branes, representing domain walls, and of spacetime filling D7-branes (which can be used to add flavor) are also found. We also study the baryon vertex and some other embeddings which break supersymmetry but are nevertheless stable.