Abstract
We construct a three-parameter family of non-extremal microstate geometries, or “microstrata”, that are dual to states and deformations of the D1-D5 CFT. These families are non-extremal analogues of superstrata. We find these microstrata by using a Q-ball-inspired Ansatz that reduces the equations of motion to solving for eleven functions of one variable. We then solve this system both perturbatively and numerically and the results match extremely well. We find that the solutions have normal mode frequencies that depend upon the amplitudes of the excitations. We also show that, at higher order in perturbations, some of the solutions, having started with normalizable modes, develop a “non-normalizable” part, suggesting that the microstrata represent states in a perturbed form of the D1-D5 CFT. This paper is intended as a “Proof of Concept” for the Q-ball-inspired approach, and we will describe how it opens the way to many interesting follow-up calculations both in supergravity and in the dual holographic field theory.
Highlights
Microstate geometries have already yielded remarkable results in the face of seemingly impossible odds1 that ranged from “No-Go” theorems and apparently insuperable nonlinearities in the geometry, to the Horowitz-Polchinski correspondence principle [2, 3] that suggested that microstructure must collapse to Planck-scale decoration of a singularity
The current challenge for microstate geometries is to get beyond supersymmetry and extremality
For ω0 = 0 and any α, β, we find that ω∞ ≡ 0, which suggests that these solutions may well preserve supersymmetry
Summary
Microstate geometries have already yielded remarkable results in the face of seemingly impossible odds that ranged from “No-Go” theorems and apparently insuperable nonlinearities in the geometry, to the Horowitz-Polchinski correspondence principle [2, 3] that suggested that microstructure must collapse to Planck-scale decoration of a singularity. The last few years have seen extensive holographic confirmation that the class of microstate geometries known as “superstrata” describe families of coherent states of the D1-D5 CFT that underlie the three-charge black hole in five dimensions [4,5,6,7,8,9,10,11]. In the last twenty years, microstate geometries have gone from being a chimera to becoming a standard laboratory for testing holographic CFT and supporting horizon-scale microstructure. The current challenge for microstate geometries is to get beyond supersymmetry and extremality. Supersymmetry and the BPS equations have provided immense technical simplifications that have brought vast families of microstate geometries within range of analytic construction and exploration. The information problem is simplified to an “information storage” problem at zero temperature
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
