A rough end for smooth microstate geometries
Supersymmetric microstate geometries with five noncompact dimensions have recently been shown by Eperon, Reall, and Santos (ERS) to exhibit a nonlinear instability featuring the growth of excitations at an “evanescent ergosurface” of infinite redshift. We argue that this growth may be treated as adiabatic evolution along a family of exactly supersymmetric solutions in the limit where the excitations are AichelburgSexllike shockwaves. In the 2charge system such solutions may be constructed explicitly, incorporating full backreaction, and are in fact special cases of known microstate geometries. In a nearhorizon limit, they reduce to AichelburgSexl shockwaves in AdS _{3} × S ^{3} propagating along one of the angular directions of the sphere. Noting that the ERS analysis is valid in the limit of large microstate angular momentum j, we use the above identification to interpret their instability as a transition from rare smooth microstates with large angular momentum to more typical microstates with smaller angular momentum. This entropic driving terminates when the angular momentum decreases to j~√n _{1}n _{5} where the density of microstates is maximal. Finally, we argue that, at this point, the large stringy corrections to such microstates will render them nonlinearly stable. We identify a possible mechanism for this stabilizationmore »
 Authors:

^{[1]};
^{[1]};
^{[2]}
 Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
 Harvard Univ., Cambridge, MA (United States). Jefferson Physical Lab., Black Hole Initiative (BHI)
 Publication Date:
 Grant/Contract Number:
 SC0007870; PHY1504541; PHY1316748
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Harvard Univ., Cambridge, MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC); National Science Foundation (NSF); John Templeton Foundation
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Black Holes; Black Holes in String Theory; String Duality
 OSTI Identifier:
 1368216
Marolf, Donald, Michel, Ben, and Puhm, Andrea. A rough end for smooth microstate geometries. United States: N. p.,
Web. doi:10.1007/JHEP05(2017)021.
Marolf, Donald, Michel, Ben, & Puhm, Andrea. A rough end for smooth microstate geometries. United States. doi:10.1007/JHEP05(2017)021.
Marolf, Donald, Michel, Ben, and Puhm, Andrea. 2017.
"A rough end for smooth microstate geometries". United States.
doi:10.1007/JHEP05(2017)021. https://www.osti.gov/servlets/purl/1368216.
@article{osti_1368216,
title = {A rough end for smooth microstate geometries},
author = {Marolf, Donald and Michel, Ben and Puhm, Andrea},
abstractNote = {Supersymmetric microstate geometries with five noncompact dimensions have recently been shown by Eperon, Reall, and Santos (ERS) to exhibit a nonlinear instability featuring the growth of excitations at an “evanescent ergosurface” of infinite redshift. We argue that this growth may be treated as adiabatic evolution along a family of exactly supersymmetric solutions in the limit where the excitations are AichelburgSexllike shockwaves. In the 2charge system such solutions may be constructed explicitly, incorporating full backreaction, and are in fact special cases of known microstate geometries. In a nearhorizon limit, they reduce to AichelburgSexl shockwaves in AdS3 × S3 propagating along one of the angular directions of the sphere. Noting that the ERS analysis is valid in the limit of large microstate angular momentum j, we use the above identification to interpret their instability as a transition from rare smooth microstates with large angular momentum to more typical microstates with smaller angular momentum. This entropic driving terminates when the angular momentum decreases to j~√n1n5 where the density of microstates is maximal. Finally, we argue that, at this point, the large stringy corrections to such microstates will render them nonlinearly stable. We identify a possible mechanism for this stabilization and detail an illustrative toy model.},
doi = {10.1007/JHEP05(2017)021},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}