Geometry of D1-D5-P bound states

Sep, 2004
20 pages
Published in:
  • Nucl.Phys.B 729 (2005) 203-220
e-Print:

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Abstract:
Supersymmetric solutions of 6-d supergravity (with two translation symmetries) can be written as a hyperkahler base times a 2-D fiber. The subset of these solutions which correspond to true bound states of D1-D5-P charges give microstates of the 3-charge extremal black hole. To understand the characteristics shared by the bound states we decompose known bound state geometries into base-fiber form. The axial symmetry of the solutions make the base Gibbons-Hawking. We find the base to be actually `pseudo-hyperkahler': The signature changes from (4,0) to (0,4) across a hypersurface. 2-charge D1-D5 geometries are characterized by a `central curve' S1S^1: the analogue for 3-charge appears to be a hypersurface that for our metrics is an orbifold of S1×S3S^1\times S^3.
  • supergravity
  • dimension: 6
  • field equations: solution
  • membrane model: D-brane
  • membrane model: p-brane
  • p-brane: 1
  • p-brane: 5