The full space of BPS multicenter states with pure D-brane charges

TL;DR

This paper explores the full set of BPS multicenter states in a specific D-brane configuration in type IIA string theory, revealing their properties and implications for black hole microstates.

Contribution

It demonstrates that all 12 ground states are realized as Coulomb branch BPS multicenter bound states with zero angular momentum, supporting the zero angular momentum conjecture for black hole microstates.

Findings

All 12 ground states are recovered as multicenter bound states.

Multicenter solutions only exist with zero angular momentum.

Supports the conjecture that all black hole microstates have zero angular momentum.

Abstract

We investigate the space of BPS states in type IIA string theory on a T$^6$ wrapped by one D6 brane and three D2 branes wrapping three disjoint 2-tori. This system of branes has 12 ground states. We show that these 12 states are all recovered as Coulomb branch BPS multicenter bound states, in which each center preserves 16 supercharges. Moreover, we show that these multicenter solutions can only exist with zero angular momentum, supporting the conjecture that all black hole microstates have zero angular momentum. For large charges, they might describe "near-horizon limit" of fuzzballs.