D0-branes in Black Hole Attractors

TL;DR

This paper investigates the bound states and supersymmetric configurations of D0-branes in Calabi-Yau black hole backgrounds, revealing a rich structure of near-horizon states and superconformal quantum mechanics.

Contribution

It introduces a detailed analysis of D0-brane bound states, constructs supersymmetric non-abelian configurations, and formulates an explicit superconformal quantum mechanics model.

Findings

Discovery of a large degeneracy of near-horizon bound states

Construction of supersymmetric non-abelian D0-brane configurations

Explicit formulation of an SU(1,1|2) superconformal quantum mechanics

Abstract

Configurations of N probe D0-branes in a Calabi-Yau black hole are studied. A large degeneracy of near-horizon bound states are found which can be described as lowest Landau levels tiling the horizon of the black hole. These states preserve some of the enhanced supersymmetry of the near-horizon AdS_2xS^2xCY attractor geometry, but not of the full asymptotically flat solution. Supersymmetric non-abelian configurations are constructed which, via the Myers effect, develop charges associated with higher-dimensional branes wrapping CY cycles. An SU(1,1|2) superconformal quantum mechanics describing D0-branes in the attractor geometry is explicitly constructed.