Asymptotic Density of Open p-brane States with Zero-modes included

TL;DR

This paper calculates the asymptotic density of open p-brane states including zero-modes, revealing a universal logarithmic correction to entropy with a specific coefficient, independent of spacetime dimension.

Contribution

It provides a novel derivation of the logarithmic correction to p-brane entropy, showing its universality across different physical systems.

Findings

Logarithmic correction coefficient: -(p+2)/(2p)

Correction is independent of embedding spacetime dimension

Similar corrections appear in massless particle gases and black holes

Abstract

We obtain the asymptotic density of open p-brane states with zero-modes included. The resulting logarithmic correction to the p-brane entropy has a coefficient - \frac{p + 2}{2 p}, and is independent of the dimension of the embedding spacetime. Such logarithmic corrections to the entropy, with precisely this coefficient, appear in two other contexts also: a gas of massless particles in p-dimensional space, and a Schwarzschild black hole in (p + 2)-dimensional anti de Sitter spacetime.