Fuzzball geometries and higher derivative corrections for extremal holes
arXiv:hep-th/0412133 · doi:10.1016/j.nuclphysb.2005.12.012
Abstract
2-charge D1-D5 microstates are described by geometries which end in `caps' near r=0; these caps reflect infalling quanta back in finite time. We estimate the travel time for 3-charge geometries in 4-D, and find agreement with the dual CFT. This agreement supports a picture of `caps' for 3-charge geometries. We argue that higher derivative corrections to such geometries arise from string winding modes. We then observe that the `capped' geometries have no noncontractible circles, so these corrections remain bounded everywhere and cannot create a horizon or singularity.
33 pages, 1 figure, LaTeX; Added references