A microstate for the 3-charge black ring

Details A microstate for the 3-charge black ring A microstate for the 3-charge black ring

2006-01-25

arxiv.org/abs/hep-th/0601193v2

Nucl.Phys.B763:60-90,2007

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 3 figures; references added

Scientific paper

10.1016/j.nuclphysb.2006.11.009

We start with a 2-charge D1-D5 BPS geometry that has the shape of a ring; this geometry is regular everywhere. In the dual CFT there exists a perturbation that creates one unit of excitation for left movers, and thus adds one unit of momentum P. This implies that there exists a corresponding normalizable perturbation on the near-ring D1-D5 geometry. We find this perturbation, and observe that it is smooth everywhere. We thus find an example of `hair' for the black ring carrying three charges -- D1, D5 and one unit of P. The near-ring geometry of the D1-D5 supertube can be dualized to a D6 brane carrying fluxes corresponding to the `true' charges, while the quantum of P dualizes to a D0 brane. We observe that the fluxes on the D6 brane are at the threshold between bound and unbound states of D0-D6, and our wavefunction helps us learn something about binding at this threshold.

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