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arXiv · hep-th/0603141

Ten and eleven dimensional perspectives on N=2 black holes

Ansar Fayyazuddin
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Abstract

We give an 11 and 10 dimensional supergravity description of M5-branes wrapping 4-cylces in a Calabi-Yau manifold and carrying momentum along a transverse S$^1$. These wrapped branes descend to a class of N=2 black holes in 4 dimensions. Our description gives the conditions on the geometry interpolating between the asymptotic and near-horizon regions. We employ the ideas of geometric transitions to show that the near horizon geometry in ten dimensions is AdS$_2\times$S$^2\times CY_3$ while in 11 dimensions it is AdS$_3\times$S$^2\times CY_3$. We also show how to obtain the complete N=2 black hole supergravity solution in 4 dimensions for this class of black holes starting with our 11-dimensional description. Finally, we generalize our results on the 10 and 11 dimensional near horizon supergravity solution to the case of black holes carrying arbitrary charges (D0-D2-D4-D6 in the type IIA description). We argue that the near horizon geometry corresponding to wrapped D6 and D2 branes in 11 dimensions is AdS$_2\times$S$^3\times CY_3$.

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Ansar Fayyazuddin. 2006-08-23. Ten and eleven dimensional perspectives on N=2 black holes. https://doi.org/10.1088/0264-9381%2F23%2F17%2F011

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