Paper detail

Fragmentation of black hole scaling throats in N=2 supergravity

We find an instanton analogous to the Brill instanton that describes the fragmentation of a single-centered black hole scaling throat of charge $Γ_1 + Γ_2 + Γ_3$ in N=2 supergravity to three disconnected throats of charges $Γ_1, Γ_2, Γ_3$, in the limit where the intersection products between the charges of the three throats satisfies $<Γ_1, Γ_2> \lll <Γ_2, Γ_3>, <Γ_3, Γ_1,>$. 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.