Fermion excitations of a tense brane black hole

TL;DR

This paper derives the fermionic quasi-normal mode spectrum for a black hole on a tense brane with a conical singularity, providing insights into fermion behavior in such higher-dimensional, tension-induced geometries.

Contribution

It introduces a method to compute fermion eigenvalues and quasi-normal modes on a brane black hole with conical singularity, extending understanding of fermion dynamics in these backgrounds.

Findings

Derived the radial potential for bulk fermions on a tense brane black hole.

Obtained the quasi-normal mode spectrum for fermions in this setting.

Provided a proof for integer spin fields on the deficit 2-sphere.

Abstract

By finding the spinor eigenvalues for a single deficit angle (d-2)-sphere, we derive the radial potential for fermions on a d-dimensional black hole background that is embedded on a codimension two brane with conical singularity, where the deficit angle is related to the brane tension. From this we obtain the quasi-normal mode spectrum for bulk fermions on such a background. As a byproduct of our method, this also gives a rigorous proof for integer spin fields on the deficit 2-sphere.