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Large N limit of Extremal Non-supersymmetric Black Holes

J. L. F. Barbon·J. Manes·M. A. Vazquez-Mozo
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Abstract

The large N limit of extremal non-supersymmetric Type-I five-dimensional string black holes is studied from the point of view of D-branes. We find that the agreement between the D-brane and the black-hole picture is due to an asymptotic restoration of supersymmetry in the large $N$ limit in which both pictures are compared. In that limit Type-I string perturbation theory is effectively embedded into a Type-IIB perturbation theory with unbroken supersymmetric charges whose presence guarantees the non-renormalization of mass and entropy as the effective couplings are increased. In this vein, we also study the near-horizon geometry of the Type-I black hole using D5-brane probes to find that the low energy effective action for the probe is identical to the corresponding one in the auxiliary Type-IIB theory in the large N limit.

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J. L. F. Barbon, J. Manes, M. A. Vazquez-Mozo. 1998-06-11. Large N limit of Extremal Non-supersymmetric Black Holes. https://doi.org/10.1016/s0550-3213(98)00554-9

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