A twist on multicenter AdS$_2$ solutions

TL;DR

This paper explores how higher angular momentum moments in multicenter 4d ${ m extbf{N}=2}$ supergravity solutions introduce a subtle twist, rotating the S$^2$ component over time, which could serve as distinguishing hair from extremal BPS black hole horizons.

Contribution

It reveals that higher angular momentum moments cause a time-dependent rotation of the S$^2$, adding a new feature to the asymptotic structure of these solutions.

Findings

Higher moments of angular momentum induce a twist in the solutions.

The twist results in a time-dependent rotation of the S$^2$ component.

Potentially distinguishes these solutions from extremal BPS black hole horizons.

Abstract

The multicenter solutions of 4d ${\cal N}=2$ supergravity contain a subset of scaling solutions with vanishing total angular momentum. In a near limit those solutions are asymptotically locally AdS$_2\times$ S$^2$, but we show that a higher moment of angular momentum contributes a subtle twist, rotating the S$^2$ with time. This provides some potential hair distinguishing the asymptotics of these scaling solutions from the near horizon geometry of an extremal BPS black hole.