Black String Entropy and Fourier-Mukai Transform

TL;DR

This paper develops a microscopic framework for black strings in F-theory using string duality and Fourier-Mukai transform, connecting D-brane and M-brane configurations with entropy calculations.

Contribution

It introduces a novel microscopic description of black strings in F-theory via Fourier-Mukai transform, linking different brane configurations and matching microscopic counts with macroscopic entropy.

Findings

Microstate degeneracy matches supergravity entropy in large D2-charge limit

Provides a unified description involving D-branes and M-branes

Asymptotic microstate count aligns with macroscopic entropy formula

Abstract

We propose a microscopic description of black strings in F-theory based on string duality and Fourier-Mukai transform. These strings admit several different microscopic descriptions involving D-brane as well as M2 or M5-brane configurations on elliptically fibered Calabi-Yau threefolds. In particular our results can also be interpreted as an asymptotic microstate count for D6-D2-D0 configurations in the limit of large D2-charge on the elliptic fiber. The leading behavior of the microstate degeneracy in this limit is shown to agree with the macroscopic entropy formula derived from the black string supergravity solution.