Flavor meson localization in 5d braneworld

TL;DR

This paper investigates how flavor mesons, represented by D7-brane fluctuations, can be localized on a brane in 5-dimensional backgrounds derived from type IIB supergravity, considering both supersymmetric and non-supersymmetric cases.

Contribution

It introduces a model embedding D7-branes in 5d backgrounds to study flavor meson localization in a brane-world scenario.

Findings

Flavor mesons can be localized on the brane in supersymmetric backgrounds.

In non-supersymmetric backgrounds, the brane is pushed to the boundary, affecting localization.

The localization behavior depends on the supersymmetry of the background.

Abstract

We propose a brane-world, which contains flavor quarks and mesons, by embedding dimensionally reduced D7-brane in both the supersymmetric and non-supersymmetric 5d background which are obtained as the solutions of type IIB supergravity compactified on Ad$S_5\times S^5$. In the supersymmetric case, the RS brane can be put at any point of the fifth coordinate, but it is pushed to the Ad$S_5$ boundary in the non-supersymmetric case. We study the localization of the flavor mesons, the fluctuation-modes of D7-brane, on the Randall-Sundrum brane in these backgrounds.