Brane-Black Hole Correspondence and Asymptotics of Quantum Spectrum

TL;DR

This paper explores the asymptotic behavior of quantum state densities for supermembranes, linking string and membrane spectra, and investigates the brane-black hole correspondence at the microstate level.

Contribution

It introduces a method to derive string spectrum results from membrane calculations and examines the microstate correspondence between branes and black holes.

Findings

Matching BPS spectra for superstrings and supermembranes

Asymptotic properties of quantum state densities analyzed

Insights into brane-black hole microstate correspondence

Abstract

We discuss the asymptotic properties of quantum states density for fundamental (super) membrane in the semiclassical approach. The matching of BPS part of spectrum for superstring and supermembrane gives the possibility to get stringy results via membrane calculations and vice versa. The brane-black hole correspondence (on the level of black hole states and brane microstates) is also studied.