Fermion excitations of a tense brane black hole

By finding the spinor eigenvalues for a single deficit angle $(d\ensuremath{-}2)$-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 quasinormal mode spectrum for bulk fermions on such a background. As a by-product of our method, this also gives a rigorous proof for integer spin fields on the deficit 2-sphere.

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