Statistical Effects and the Black Hole/D-brane Correspondence

TL;DR

This paper investigates the relationship between classical black string properties and their D-brane quantum descriptions, showing that quantum effects minimally alter horizon characteristics at large charges.

Contribution

It translates classical horizon and curvature expressions into D-brane operators and analyzes their typical values in the quantum ensemble for three-charge BPS black strings.

Findings

Wavy black strings have smaller horizon area and divergent curvature.

Quantum ensemble results closely match classical stationary black strings at large charges.

Deviations depend on properties of quantum bound states.

Abstract

The horizon area and curvature of three-charge BPS black strings are studied in the D-brane ensemble for the stationary black string. The charge distributions along the string are used to translate the classical expressions for the horizon area and curvature of BPS black strings with waves into operators on the D-brane Hilbert space. Despite the fact that any `wavy' black string has smaller horizon area and divergent curvature, the typical values of the horizon area and effects of the horizon curvature in the D-brane ensemble deviate negligibly from those of the original stationary black string in the limit of large integer charges. Whether this holds in general will depend on certain properties of the quantum bound states.