Vector Superstrata: Part Two

TL;DR

This paper constructs new supersymmetric microstate geometries for the D1-D5-P black hole within supergravity, revealing insights into black hole microstructure through novel solutions with finite AdS$_2$ throats and holographic duals.

Contribution

It introduces an algorithm to solve complex PDEs for microstate geometries and constructs new solutions with vector charge, expanding the landscape of known black hole microstates.

Findings

New microstate geometries with finite AdS$_2$ throats

Solutions asymptotic to AdS$_3\times S^3$

Holographic duals identified in D1-D5 CFT

Abstract

Microstate geometries are proposed microstates of black holes which can be described within supergravity. Even though their number may not reproduce the full entropy of black holes with finite-sized horizons, they still offer a glimpse into the microscopic structure of black holes. In this paper we construct a new set of microstate geometries of the supersymmetric D1-D5-P black hole, where the momentum charge is carried by a vector field, as seen from the perspective of six-dimensional supergravity. To aid our construction, we develop an algorithm which solves a complicated partial differential equation using the regularity of the geometries. The new solutions are asymptotically AdS$_3\times S^3$, and have a long, but finite AdS$_2$ throat that caps off without ever developing a horizon. These microstate geometries have a holographic interpretation as coherent superpositions of heavy states in the boundary D1-D5 CFT. We identify the states which are dual to our newly constructed solutions and carry out some basic consistency checks to support our identification.