Article

Journal of High Energy Physics

, 2011:22

Open Access This content is freely available online to anyone, anywhere at any time.

An infinite-dimensional family of black-hole microstate geometries

  • Iosif BenaAffiliated withInstitut de Physique Théorique, CEA Saclay, CNRS-URA 2306
  • , Nikolay BobevAffiliated withDepartment of Physics and Astronomy, University of Southern California
  • , Stefano GiustoAffiliated withDipartimento di Fisica, Università di Genova
  • , Clément RuefAffiliated withInstitut de Physique Théorique, CEA Saclay, CNRS-URA 2306 Email author 
  • , Nicholas P. WarnerAffiliated withDepartment of Physics and Astronomy, University of Southern California

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 \( {\text{D}}6{ - }\overline {{\text{D}}6} \) 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.

Keywords

Black Holes in String Theory Models of Quantum Gravity D-branes