Abstract

We construct a new class of smooth horizonless microstate geometries of the supersymmetric D1-D5-P black hole in type IIB supergravity. We first work in the AdS3 × S3 decoupling limit and use the fermionic symmetries of the theory to generate new momentum carrying perturbations in the bulk that have an explicit CFT dual description. We then use the supergravity equations to calculate the backreaction of these perturbations and find the full non-linear solutions both in the asymptotically AdS and asymptotically flat case. These new geometries have a simpler structure than the previously known superstrata solutions.

Highlights

  • Introduction and summaryThe thermodynamic entropy of certain extremal black holes was successfully explained by enumerating the microstates predicted by string theory [1,2,3]

  • We construct a new class of smooth horizonless microstate geometries of the supersymmetric D1-D5-P black hole in type IIB supergravity

  • We first work in the AdS3 × S3 decoupling limit and use the fermionic symmetries of the theory to generate new momentum carrying perturbations in the bulk that have an explicit CFT dual description

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Summary

Introduction and summary

The thermodynamic entropy of certain extremal black holes was successfully explained by enumerating the microstates predicted by string theory [1,2,3]. We present an explicit construction of an entirely new class of superstrata They share the same features as the original superstrata [23,24,25], such as representing microstates of the D1-D5-P black hole and having dual CFT states. They are simpler than the original ones in that they involve a smaller number of non-trivial fields. In appendix C, we summarise the spectrum of linear supergravity around AdS3 × S3 worked out in [42] This predicts the structure of excited fields in the new superstrata that we found in this paper, and further suggests other simple kinds of superstratum that would be interesting to investigate. In appendix D, we work out the map between the Killing spinors in the NS-NS coordinates presented in the main text and the ones in the RR coordinates

A CFT starter
Supergravity setup
The BPS ansatz
Seed solution
Original superstrata
Supersymmetry variations
The Killing spinors
Fermionically generated superstrata: linear analysis
Variations of fermionic fields
Solution-generating technique
Non-linear completion
Solving the second-layer equations
Regularity
Asymptotically flat solution
Conserved charges
Compendium of formulas and explicit solutions
Explicit examples
Spinor conventions
Identifying Killing spinors and CFT fermionic generators
B Explicit results in the NS-NS sector
Variations of the B-field
D Killing spinors in the RR coordinates

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