Black Ring Deconstruction

TL;DR

The authors extend microstate geometries to a black ring by adding a distant D6-brane to a black string microstate and show a scaling solution that yields a long throat with near-horizon geometry $AdS_3 \times S^2$. In the throat, a dipole M2-brane wrapping the $S^2$ reduces to a dielectric D2-brane that carries only $D0$-charge, suggesting a cloud of D0-branes puffing up via the Myers effect. They present a concrete quiver-based construction with fluxed D6/D6¯, D0-branes, and a separate D6 to realize the ring microstate, demonstrating a clear near/far region separation and corresponding metric simplifications. This work links four- and five-dimensional black objects through scaling and dielectric brane dynamics and outlines key questions about backreaction, charge distributions, and the role of more general quivers in accounting for black object entropy.

Abstract

We present a sample microstate for a black ring in four and five dimensional language. The microstate consists of a black string microstate with an additional D6-brane. We show that with an appropriate choice of parameters the piece involving the black string microstate falls down a long AdS throat, whose M-theory lift is AdS_3 X S^2. We wrap a spinning dipole M2-brane on the S^2 in the probe approximation. In IIA, this corresponds to a dielectric D2-brane carrying only D0-charge. We conjecture this is the first approximation to a cloud of D0-branes blowing up due to their non-abelian degrees of freedom and the Myers effect.

Figures (2)

• Figure 1: The quiver for the black ring microstate example.
• Figure 2: Rough sketch of the closed loop of the quiver falling down a throat in the scaling solution with a single D6-brane left outside.