Bubbling supertubes and foaming black holes
May, 200540 pages
Published in:
- Phys.Rev.D 74 (2006) 066001
e-Print:
- hep-th/0505166 [hep-th]
Report number:
- UCLA-05-TEP-15
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Abstract: (arXiv)
We construct smooth BPS three-charge geometries that resolve the zero-entropy singularity of the U(1) x U(1) invariant black ring. This singularity is resolved by a geometric transition that results in geometries without any branes sources or singularities but with non-trivial topology. These geometries are both ground states of the black ring, and non-trivial microstates of the D1-D5-P system. We also find the form of the geometries that result from the geometric transition of N zero-entropy black rings, and argue that, in general, such geometries give a very large number of smooth bound-state three-charge solutions, parameterized by 6N functions. The generic microstate solution is specified by a four-dimensional hyper-Kahler geometry of a certain signature, and contains a ``foam'' of non-trivial two-spheres. We conjecture that these geometries will account for a significant part of the entropy of the D1-D5-P black hole, and that Mathur's conjecture might reduce to counting certain hyper-Kahler manifolds.- 04.65.+e
- 11.25.-w
- membrane model: D-brane
- membrane model: p-brane
- ground state
- soliton: BPS
- black hole
- entropy
- geometry
- string model
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