Local Supersymmetry Enhancement and Black Hole Microstates

Abstract

In string theory, black holes can be made from brane systems that are partially delocalized in string theory's extra dimensions. It is expected that they correspond to an ensemble of pure, horizonless microstates sourced by localized versions of this brane system. This thesis aims at studying the relationship between supersymmetric black holes and their microstates. In particular, we apply a concept called local supersymmetry enhancement to 1/4-BPS and 1/8-BPS systems that correspond to two-, three-, and four-charge black holes. This concept locally increases the number of preserved supercharges to 16 by adding dipole charges to the system. These bound states are then expected to be horizonless and describe the microstates of the black hole. First, we list all dipole charges for 1/4-BPS systems in Type II string theory. Then, we apply these to generate two structures to enhance 1/8-BPS systems, one with exclusively internal dipole charges and the other with a non-trivial shape in the non-compact dimensions. Thus, we identify the dipole charges for the microstates of various supersymmetric black holes, including new internal dipole charges for the D1-D5-P black hole and external ones for the D2-D2-D2-D6 black hole. These dipole charges reveal the local structure of the black hole's microstates and will be used in the construction of the corresponding supergravity solutions.