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 $<{\Gamma }_1,{\Gamma }_2>⋘<{\Gamma }_2,{\Gamma }_3>,<{\Gamma }_3,{\Gamma }_1,>$. 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.

arXiv comment12 pages