6D microstate geometries from 10D structures

Abstract

We use the formalism of Generalised Geometry to characterise in general the supersymmetric backgrounds in type II supergravity that have a null Killing vector. We then specify this analysis to configurations that preserve the same supersymmetries as the D1-D5-P system compactified on a four-manifold. We give a set of equations on the forms defining the supergravity background that are equivalent to the supersymmetry constraints and the equations of motion. This study is motivated by the search of new microstate geometries for the D1-D5-P black hole. As an example, we rewrite the linearised three-charge solution of arXiv:hep-th/0311092 in our formalism and show how to extend it to a non-linear, regular and asymptotically flat configuration.

59 pages, including 19 pages of Appendix; v2: corrected typos, added references; v3: corrected typos, eq. (3.55) simplified

References in corpus (11)

• The fuzzball proposal for black holes
• Gravity solutions for the D1-D5 system with angular momentum
• Black Holes as Effective Geometries
• Fuzzballs with internal excitations
• Global Structure of Five-dimensional BPS Fuzzballs
• Generalized non-supersymmetric flux vacua
• The Foaming Three-Charge Black Hole
• A class of BPS time-dependent 3-charge microstates from spectral flow
• An Infinite-Dimensional Family of Black-Hole Microstate Geometries
• Momentum-carrying waves on D1-D5 microstate geometries
• The supergravity fields for a D-brane with a travelling wave from string amplitudes

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