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arXiv · 1209.4100

Fermionic Wigs for BTZ Black Holes

L. G. C. Gentile·P. A. Grassi·A. Mezzalira
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Abstract

We compute the wig for the BTZ black hole, namely the complete non-linear solution of supergravity equations with all fermionic zero modes. We use a "gauge completion" method starting from AdS_3 Killing spinors to generate the gravitinos fields associated to the BH and we compute the back-reaction on the metric. Due to the anticommutative properties of the fermionic hairs the resummation of these effects truncates at some order. We illustrate the technique proposed in a precedent paper in a very explicit and analytical form. We also compute the mass, the angular momentum and other charges with their corrections.

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L. G. C. Gentile, P. A. Grassi, A. Mezzalira. 2012-09-18. Fermionic Wigs for BTZ Black Holes. https://doi.org/10.1016/j.nuclphysb.2013.02.009

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