Abstract
We examine some recently-constructed families of asymptotically-AdS3 × {mathbb{S}}^3 supergravity solutions that have the same charges and mass as supersymmetric D1-D5- P black holes, but that cap off smoothly with no horizon. These solutions, known as superstrata, are quite complicated, however we show that, for an infinite family of solutions, the null geodesic problem is completely integrable, due to the existence of a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics. This implies that the massless scalar wave equation is separable. For another infinite family of solutions, we find that there is a non-trivial conformal Killing tensor only when the left-moving angular momentum of the massless scalar is zero. We also show that, for both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on {mathbb{S}}^3 down to a (2 + 1)-dimensional space-time. We discuss some of the broader consequences of these special properties for the physics of these black-hole microstate geometries.
Highlights
We examine some recently-constructed families of asymptotically-AdS3 × S3 supergravity solutions that have the same charges and mass as supersymmetric D1-D5P black holes, but that cap off smoothly with no horizon
For both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on S3 down to a (2 + 1)-dimensional space-time
In this paper we will restrict our attention to the metric degrees of freedom, and we postpone a full analysis of the existence, or otherwise, of a complete consistent truncation to future work
Summary
We review the construction of superstrata, before focusing on the set of such solutions that involve a single-mode excitation. This will provide some background and allow us to set up notation to be used when we present our main results
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