  We consider the superconformal quantum mechanics associated to BPS black
holes in type IIB Calabi-Yau compactifications. This quantum mechanics
describes the dynamics of D-branes in the near-horizon attractor geometry of
the black hole. In many cases, the black hole entropy can be found by counting
the number of chiral primaries in this quantum mechanics. Both the attractor
mechanism and notions of marginal stability play important roles in generating
the large number of microstates required to explain this entropy. We compute
the microscopic entropy explicitly in a few different cases, where the theory
reduces to quantum mechanics on the moduli space of special Lagrangians. Under
certain assumptions, the problem may be solved by implementing mirror symmetry
as three T-dualities: this is essentially the mirror of a calculation by
Gaiotto, Strominger and Yin. In some simple cases, the calculation may be done
in greater generality without resorting to conjectures about mirror symmetry.
For example, the K3xT^2 case may be studied precisely using the Fourier-Mukai
transform.
