Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry

Abstract

We study the non-perturbative quantum corrections to a Born-Infeld black hole in a spherical cavity. These quantum corrections produce a non-trivial short distances modification to the relation between the entropy and area of this black hole. This in turn modifies the thermodynamics of this system. We also investigate the effect of such non-perturbative corrections on the information geometry of this system. This is done using various different information metrics.