Do All BPS Black Hole Microstates Carry Zero Angular Momentum?

TL;DR

This paper investigates whether all microstates of certain BPS black holes in string theory have zero angular momentum, testing the conjecture through explicit analysis of D-brane configurations on a six-torus.

Contribution

It provides evidence supporting the conjecture that all microstates of these black holes carry zero angular momentum by analyzing specific D-brane systems in type II string theory.

Findings

Microstates of the studied black holes appear to have zero angular momentum.

The moduli space of classical vacua reduces to discrete points in analyzed cases.

Abstract

From the analysis of the near horizon geometry and supersymmetry algebra it has been argued that all the microstates of single centered BPS black holes with four unbroken supersymmetries carry zero angular momentum in the region of the moduli space where the black hole description is valid. A stronger form of the conjecture would be that the result holds for any sufficiently generic point in the moduli space. In this paper we set out to test this conjecture for a class of black hole microstates in type II string theory on $T^6$, represented by four stacks of D-branes wrapped on various cycles of $T^6$. For this system the above conjecture translates to the statement that the moduli space of classical vacua must be a collection of points. Explicit analysis of systems carrying a low number of D-branes supports this conjecture.