Smooth non-extremal D1-D5-P solutions as charged gravitational instantons

TL;DR

This paper constructs non-supersymmetric D1-D5-P supergravity solutions as charged instantons, using inverse scattering and symmetry transformations, providing a simplified approach to smooth microstate geometries.

Contribution

It offers a direct inverse scattering method to build charged non-extremal D1-D5-P solutions as instantons, extending previous work with a more straightforward construction.

Findings

Solutions viewed as charged Myers-Perry instantons

Angular momentum bounds ensure smooth microstate geometries

Charges added via SO(4,4) symmetry transformations

Abstract

We present an alternative and more direct construction of the non-supersymmetric D1-D5-P supergravity solutions found by Jejjala, Madden, Ross and Titchener. We show that these solutions --- with all three charges and both rotations turned on --- can be viewed as a charged version of the Myers-Perry instanton. We present an inverse scattering construction of the Myers-Perry instanton metric in Euclidean five-dimensional gravity. The angular momentum bounds in this construction turn out to be precisely the ones necessary for the smooth microstate geometries. We add charges on the Myers-Perry instanton using appropriate SO(4,4) hidden symmetry transformations. The full construction can be viewed as an extension and simplification of a previous work by Katsimpouri, Kleinschmidt and Virmani.