A Comparative Note on Tunneling in AdS and in its Boundary Matrix Dual

TL;DR

This paper compares tunneling phenomena in charged AdS black holes and their boundary matrix models, showing that the decay rate increases with chemical potential and is well captured by the matrix model through explicit solution analysis.

Contribution

It provides a detailed comparison between gravitational tunneling in AdS black holes and matrix model predictions, including explicit solution construction.

Findings

Decay rate increases with chemical potential in charged AdS black holes.

Matrix model effectively captures the tunneling features of the gravitational system.

Explicit kink and bounce solutions validate the matrix model approach.

Abstract

For charged black hole, within the grand canonical ensemble, the decay rate from thermal AdS to the black hole at a fixed high temperature increases with the chemical potential. We check that this feature is well captured by a phenomenological matrix model expected to describe its strongly coupled dual. This comparison is made by explicitly constructing the kink and bounce solutions around the de-confinement transition and evaluating the matrix model effective potential on the solutions.