Spectral Flow of the Non-Supersymmetric Microstates of the D1-D5-KK System

TL;DR

This paper extends spectral flow as a coordinate transformation to non-supersymmetric solutions, applying it to D1-D5-KK microstates to generate new geometries with momentum charge, and analyzes their supersymmetric and near-core limits.

Contribution

It introduces a method to implement spectral flow as a coordinate transformation for non-supersymmetric geometries in string theory.

Findings

Successfully extended spectral flow to non-supersymmetric solutions.

Generated new microstate geometries with added momentum charge.

Analyzed supersymmetric and near-core limits of the constructed solutions.

Abstract

We show that a realisation of spectral flow as a coordinate transformation for asymptotically four-dimensional solutions can be extended to the non-supersymmetric case. We apply this transformation to smooth geometries describing microstates of the D1-D5-KK monopole system in type IIB supergravity compactified on a six-torus, and obtain solutions with an additional momentum charge. We study the supersymmetric and near-core limits of this construction.