The count of black hole microstates is typically obtained from a supersymmetric index in weakly coupled string theory. I will discuss the index in the strongly coupled theory, as a functional integral in N=2 supergravity in asymptotically flat space. The saddle-points of this index are given by supersymmetric "finite-temperature" rotating geometries. I will discuss a new version of the attractor mechanism obeyed by these geometries: the scalar fields at the poles of the Euclidean horizon as well as the free energy of the black hole get attracted to values that depend only on the charges and are independent of the asymptotic moduli and temperature.
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