Geometry of D1-D5-P bound states
Sep, 2004Citations per year
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' : the analogue for 3-charge appears to be a hypersurface that for our metrics is an orbifold of .- supergravity
- dimension: 6
- field equations: solution
- membrane model: D-brane
- membrane model: p-brane
- p-brane: 1
- p-brane: 5
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