Interpolating between multi-center microstate geometries

TL;DR

This paper explores the interpolation between multi-center microstate geometries in string theory, revealing charge transfer phenomena and spectral flow, with implications for understanding black hole microstates.

Contribution

It introduces a new interpolating solution with a helical profile, connecting different microstate geometries and analyzing charge dynamics during interpolation.

Findings

Charges become delocalized during interpolation

Charge transfer occurs between centers as the solution evolves

Spectral flow relates different microstate configurations

Abstract

We study interpolation between two multi-center microstate geometries in 4d/5d that represent Lunin-Mathur geometries with circular profiles. The interpolating solution is a Lunin-Mathur geometry with a helical profile, and is represented by a 2-center solution with a codimension-2 source. The interpolating 2-center solution exhibits interesting features such as some of the charges being delocalized, and some of the charges getting transferred from the codimension-2 center to the other, codimension-3 center as the interpolation proceeds. We also discuss the spectral flow of this entire process and speculate on the relevance of such solutions to understanding general microstates of 3-charge black holes.