Fragmentation of black hole scaling throats in N=2 supergravity

Abstract

We find an instanton analogous to the Brill instanton that describes the fragmentation of a single-centered black hole scaling throat of charge $\Gamma_1 + \Gamma_2 + \Gamma_3$ in N=2 supergravity to three disconnected throats of charges $\Gamma_1, \Gamma_2, \Gamma_3$, in the limit where the intersection products between the charges of the three throats satisfies $<\Gamma_1, \Gamma_2> \lll <\Gamma_2, \Gamma_3>, <\Gamma_3, \Gamma_1,>$. We evaluate the Euclidean action for this instanton and find that the amplitude for the tunneling process is proportional to the difference in entropy between the initial and final configurations.