Bubbling supertubes and foaming black holes

May, 2005
40 pages
Published in:
  • Phys.Rev.D 74 (2006) 066001
e-Print:
Report number:
  • UCLA-05-TEP-15

Citations per year

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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