Meson spectroscopy from holomorphic probes on the warped deformed conifold

TL;DR

This paper investigates D7 brane probes in the Klebanov-Strassler background to derive the spectrum of flavored mesons, revealing a discrete spectrum with a mass gap while preserving supersymmetry.

Contribution

It provides a holographic computation of meson spectra from holomorphic D7 brane embeddings in a warped deformed conifold, maintaining N=1 supersymmetry.

Findings

Discrete meson spectrum with a mass gap

Configurations preserve N=1 supersymmetry

Fluctuation analysis yields vector and scalar mesons

Abstract

We study D7 brane probes holomorphically embedded in the Klebanov-Strassler model. Analyzing the $\kappa$-symmetry condition for D7 branes wrapping a 4-cycle of a deformed conifold we find configurations that do not break N=1 supersymmetry of the background. We compute the fluctuations of the probe around one of these configurations and obtain the spectrum of vector and scalar flavored mesons in the dual gauge theory. The spectrum is discrete and exhibits a mass gap.