Smooth geometries with four charges in four dimensions

TL;DR

This paper constructs smooth, horizonless four-dimensional geometries with four charges, potentially representing microstates of a specific conformal field theory, using six-dimensional supergravity solutions.

Contribution

It introduces a new class of axially symmetric, rotating geometries with four charges, constructed via singularity analysis on six-dimensional supergravity solutions.

Findings

Geometries are free of horizons and singularities.

Candidates for gravity duals of (0,4) CFT microstates.

Uses Gibbons-Hawking base metric for construction.

Abstract

A class of axially symmetric, rotating four-dimensional geometries carrying D1, D5, KK monopole and momentum charges is constructed. The geometries are found to be free of horizons and singulaties, and are candidates to be the gravity duals of microstates of the (0,4) CFT. These geometries are constructed by performing singularity analysis on a suitably chosen class of solutions of six-dimensional minimal supergravity written over a Gibbons-Hawking base metric. The properties of the solutions raise some interesting questions regarding the CFT.