Black hole spectroscopy and \(\mathrm{AdS}_2\) holography. (English) Zbl 1415.83019
Summary: We compute the spectrum of extremal nonBPS black holes in four dimensions by studying supergravity on their \( \mathrm{AdS}_2 \times S^2\) near horizon geometry. We find that the spectrum exhibits significant simplifications even though supersymmetry is completely broken. We interpret our results in the framework of \(\mathrm{nAdS}_2 / \mathrm{nCFT}_1 \) correspondence and by comparing with dimensional reduction from \(\mathrm{AdS}_3 / \mathrm{CFT}_2 \) duality. As an additional test we compute quantum corrections to extremal black hole entropy on the nonBPS branch and recover results previously determined using very different methods.
MSC:
| 83C57 | Black holes |
| 83E05 | Geometrodynamics and the holographic principle |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E50 | Supergravity |
| 81R40 | Symmetry breaking in quantum theory |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
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