A class of BPS time-dependent 3-charge microstates from spectral flow

TL;DR

This paper constructs a broad class of explicit, asymptotically flat 3-charge microstate geometries with angular momentum, derived via spectral flow from D1-D5 CFT ground states, matching their asymptotic charges.

Contribution

It introduces a new family of explicit 3-charge microstate solutions generated through spectral flow, parametrized by functions describing curve embeddings and spectral flow integers.

Findings

Constructed an infinite family of microstate geometries.

Matched asymptotic charges with CFT predictions.

Provided explicit examples of spectral flow in microstates.

Abstract

We construct an infinite family of asymptotically flat 3-charge solutions carrying D1, D5 and momentum charges. Generically the solutions also carry two angular momenta. The geometries describe the spectral flow of all the ground states of the D1-D5 CFT. The family is parametrized by four functions describing the embedding of a closed curve in R^4 and an integer n labelling the spectral flow on the left sector. After giving the general prescription for spectral flowing any of the ground states, we give an explicit example of the construction. We identify the asymptotic charges of the resulting solution and show the matching with the corresponding CFT result.