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Supersymmetry of Anti-de Sitter Black Holes

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arxiv hep-th/9808097 v3 pith:VASA2X6K submitted 1998-08-17 hep-th gr-qc

classification hep-thgr-qc
keywords blackholessupersymmetryanti-deconfigurationsdyoniceventfind
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We examine supersymmetry of four-dimensional asymptotically anti-de Sitter (AdS) dyonic black holes in the context of gauged N=2 supergravity. Our calculations concentrate on black holes with unusual topology and their rotating generalizations, but we also reconsider the spherical rotating dyonic Kerr-Newman-AdS black hole, whose supersymmetry properties have previously been investigated by Kosteleck\'{y} and Perry within another approach. We find that in the case of spherical, toroidal or cylindrical event horizon topology, the black holes must rotate in order to preserve some supersymmetry; the non-rotating supersymmetric configurations representing naked singularities. However, we show that this is no more true for black holes whose event horizons are Riemann surfaces of genus $g>1$, where we find a nonrotating extremal solitonic black hole carrying magnetic charge and permitting one Killing spinor. For the nonrotating supersymmetric configurations of various topologies, all Killing spinors are explicitly constructed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On toric self-dual Einstein gravitational instantons

    math.DG 2026-06 unverdicted novelty 7.0 of 10

    Toric self-dual Einstein instantons with negative cosmological constant satisfying a global conformal Kähler extension condition are precisely the Calderbank-Pedersen-Singer multipole solutions.

  2. Moduli-dependent one-loop entropy of hyperbolic BPS black hole in AdS$_4$

    hep-th 2026-02 conditional novelty 6.0 of 10

    The one-loop logarithmic entropy correction for a hyperbolic BPS black hole in AdS4 depends on the unfixed horizon scalar modulus and acts as a quantum potential that lifts the classical flat direction.

  3. On the third law of black hole mechanics for supersymmetric black holes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Supersymmetric black holes cannot form in finite time from matter obeying the local mass-charge inequality, and a non-extremal black hole cannot evolve into a supersymmetric one in finite time.

  4. Supersymmetry of the static Reissner-Nordstr\"om black hole in Bertotti-Robinson ($\mathrm{AdS}_2 \times \mathbb{S}^2$)

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    The static Reissner-Nordström black hole embedded in Bertotti-Robinson (AdS₂ × S²) is supersymmetric in N=2 D=4 supergravity, saturates the BPS bound, and yields mass and thermodynamic relations with a cosmological-co...

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