An infinite-dimensional family of black-hole microstate geometries
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Publication:476024
DOI10.1007/JHEP03(2011)022zbMATH Open1301.81185arXiv1006.3497WikidataQ59270363 ScholiaQ59270363MaRDI QIDQ476024
Author name not available (Why is that?)
Publication date: 27 November 2014
Published in: (Search for Journal in Brave)
Abstract: We construct the first explicit, smooth, horizonless black-hole microstate geometry whose moduli space is described by an arbitrary function of one variable and is thus infinite-dimensional. This is achieved by constructing the scalar Green function on a simple D6 anti-D6 background, and using this Green function to obtain the fully back-reacted solution for a supertube with varying charge density in this background. We show that this supertube can store parametrically more entropy than in flat space, confirming the entropy enhancement mechanism that was predicted using brane probes. We also show that all the local properties of the fully back-reacted solution can, in fact, be obtained using the DBI action of an appropriate brane probe. In particular, the supergravity and the DBI analysis yield identical functional bubble equations that govern the relative locations of the centers. This indicates that there is a non-renormalization theorem that protects these functional equations as one moves in moduli space. Our construction creates configurations that are beyond the scope of recent arguments that appear to put strong limits on the entropy that can be found in smooth supergravity solutions.
Full work available at URL: https://arxiv.org/abs/1006.3497
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