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arXiv · 0904.0475

On the negative spectrum of the 2+1 black hole

Olivera Miskovic·Jorge Zanelli
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Abstract

In (2+1)-dimensional gravity with negative cosmological constant, the states in the negative energy range, between AdS (M=-1) and the so-called BTZ black hole ($M\geq 0$), correspond to topological defects with angular deficit $0<\alpha <2\pi $. These defects are produced by (static or spinning) 0-branes which, in the extreme case $M\ell =-|J|$, admit globally-defined covariantly constant spinors. Thus, these branes correspond to BPS solitons and are stable ground state candidates for the corresponding supersymmetric extension of 2+1 AdS gravity. These branes constitute external currents that couple in a gauge-invariant way to three-dimensional AdS gravity.

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Olivera Miskovic, Jorge Zanelli. 2009-04-02. On the negative spectrum of the 2+1 black hole. https://doi.org/10.1103/physrevd.79.105011

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