Near-horizon microstates of the D1-D5-P black hole

TL;DR

This paper constructs near-horizon microstate solutions for the D1-D5-P black hole, demonstrating how bound states of D1-branes expand via the Myers effect to account for black hole entropy.

Contribution

It generalizes previous microstate solutions to the D1-D5-P black hole and links brane bound states to entropy via Landau level degeneracy.

Findings

Microstate solutions reproduce Bekenstein-Hawking entropy

Bound states of D1-branes expand through Myers effect

Magnetic field on moduli space explains degeneracy

Abstract

We construct probe solutions in the attractor background of the five-dimensional D1-D5-P black hole which represent near-horizon microstates in the limit of large D1-charge. These generalize the corresponding solutions considered by Gaiotto, Strominger and Yin for the 4-dimensional D0-D4 black hole. Using U-duality and a 4D-5D connection, we argue that the relevant configurations are bound states of D1-branes that have expanded through the Myers effect to form a Kaluza-Klein monopole wrapping the black hole horizon. We show that these branes experience a magnetic field on their moduli space, and that the degeneracy of lowest Landau levels reproduces the Bekenstein-Hawking entropy.