Meson modes of probe $D7$-branes in Klebanov-Strassler background

TL;DR

This paper studies the spectrum and properties of mesons and mesinos on probe D7-branes in the Klebanov-Strassler background, deriving wave equations and analyzing mass spectra and zero modes.

Contribution

It provides a detailed analysis of bosonic and fermionic modes on D7-branes in a warped deformed conifold, including mass spectra and potential fermionic zero modes.

Findings

Mass spectra of bosonic modes calculated

Wave functions and couplings evaluated

Possible fermionic zero modes explored

Abstract

We examine the properties of 4-d bosonic and fermionic (mesons and mesinos) modes on $D7$-branes wrapped over Kuperstein 4-cycle of the Klebanov-Strassler background. The wave equations are derived in a convenient parameterization of the warped deformed conifold metric. The mass spectra, wave functions and couplings of bosonic modes are evaluated by means of semi-classical tools. We explore the possible existence of fermionic zero modes.