Supersymmetric black holes

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de Wit, Bernard (2005)

The effective action of $N=2$, $d=4$ supergravity is shown to acquire no quantum corrections in background metrics admitting super-covariantly constant spinors. In particular, these metrics include the Robinson-Bertotti metric (product of two 2-dimensional spaces of constant curvature) with all 8 supersymmetries unbroken. Another example is a set of arbitrary number of extreme Reissner-Nordstr\"om black holes. These black holes break 4 of 8 supersymmetries, leaving the other 4 unbroken. We have found manifestly supersymmetric black holes, which are non-trivial solutions of the flatness condition $\cd^{2} = 0$ of the corresponding (shortened) superspace. Their bosonic part describes a set of extreme Reissner-Nordstr\"om black holes. The super black hole solutions are exact even when all quantum supergravity corrections are taken into account.
  • References (36)
    36 references, page 1 of 4

    [1] J.M. Bardeen, B. Carter and S.W. Hawking, “The four laws of black hole mechanics”, Commun. Math. Phys. 31 (1973) 161.

    [2] S.W. Hawking, “Particle creation by black holes”, Comm. Math. Phys. 43 (1975) 199.

    [3] J.D. Bekenstein, “Black holes and entropy”, Phys. Rev. D7 (1973) 2333; “Generalized second law of thermodynamics in black-hole physics”, Phys. Rev. D9 (1974) 3292.

    [4] A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy”, Phys. Lett. B379 (1996) 99-104, hep-th/9601029.

    [5] J.M. Maldacena, A. Strominger, and E. Witten, “Black hole entropy in M-theory”, JHEP 12 (1997) 002, hep-th/9711053.

    [6] C. Vafa, “Black holes and Calabi-Yau threefolds”, Adv. Theor. Math. Phys. 2 (1998) 207-218, hep-th/9711067.

    [7] R. Minasian, G. Moore and D. Tsimpis, “Calabi-Yau black holes and (0, 4) sigma models”, Commun. Math. Phys. 209 (2000) 325, hep-th/09904217.

    [8] S. Ferrara, R. Kallosh, and A. Strominger, “N = 2 extremal black holes”, Phys. Rev. D52 (1995) 5412, hep-th/9508072.

    [9] A. Strominger, “Macroscopic entropy of N = 2 extremal black holes”, Phys. Lett. B383 (1996) 39, hep-th/9602111.

    [10] S. Ferrara and R. Kallosh, “Supersymmetry and attractors”, Phys. Rev. D54 (1996) 1514, hep-th/9602136.

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