Fermions in a warped resolved conifold

TL;DR

This paper studies how fermionic fields behave in a warped braneworld model based on a resolved conifold, revealing how geometric parameters influence fermion localization and the spectrum of modes.

Contribution

It introduces a new geometric setup using a resolved conifold to analyze fermion localization, showing how the resolution parameter affects zero modes and Kaluza-Klein spectra.

Findings

Existence of a normalizable massless fermion mode dependent on the resolution parameter.

The resolution parameter influences the barrier height of the volcano potential for KK modes.

The geometry acts as a near brane correction of string-like models.

Abstract

We investigated the localization of the spinorial field in a braneworld built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario provides a geometric flow that controls the singularity at the origin and changes the properties of the fermion in this background. Furthermore, due the cylindrical symmetry according to the 3-brane and a smoothed warp factor, this geometry can be regarded as a near brane correction of the string-like branes. This geometry allows a normalizable and well-defined massless mode whose decay and value on the brane depend on the resolution parameter. For the Kaluza-Klein modes, resolution parameter also controls the height of the barrier of the volcano potential.