BPS Branes From Baryons

TL;DR

This paper explores the connection between supersymmetric D3-branes and baryonic operators in the AdS/CFT framework, providing a detailed spectrum analysis for specific geometries.

Contribution

It characterizes supersymmetric D3-brane probes on AdS_5 x H backgrounds and matches their quantized spectrum to dual gauge theory operators.

Findings

BPS spectrum matches chiral baryonic operators for H = T^{1,1} and H = S^5

Holomorphic characterization of D3-brane probes in supersymmetric backgrounds

Quantization of probe solutions yields a spectrum consistent with dual gauge theories

Abstract

We elucidate the relationship between supersymmetric D3-branes and chiral baryonic operators in the AdS/CFT correspondence. For supersymmetric backgrounds of the form AdS_5 x H, we characterize via holomorphy a large family of supersymmetric D3-brane probes wrapped on H. We then quantize this classical family of probe solutions to obtain a BPS spectrum which describes D3-brane configurations on H. For the particular examples H = T^{1,1} and H = S^5, we match the BPS spectrum to the spectrum of chiral baryonic operators in the dual gauge theory.