Fragmentation of black hole scaling throats in N=2 supergravity

TL;DR

This paper constructs an instanton in N=2 supergravity that models the quantum tunneling process where a single black hole throat fragments into three separate throats, with the tunneling amplitude linked to entropy differences.

Contribution

It introduces a new instanton solution describing black hole throat fragmentation in N=2 supergravity, extending understanding of quantum tunneling in black hole physics.

Findings

The instanton describes black hole fragmentation into three throats.

The tunneling amplitude is proportional to the entropy difference.

The solution applies in a specific charge intersection regime.

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.