RT Journal Article
T1 Energy returns in global AdS(4)
A1 Fariña Biasi, Anxo
A1 Craps, Ben
A1 Evnin, Oleg
AB Recent studies of the weakly nonlinear dynamics of probe fields in global AdS4 (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical returns for two-mode initial data. In this paper, we address the question whether similar exact returns are present in the weakly nonlinear dynamics of gravitationally backreacting perturbations in global AdS4. In the literature, approximate returns were first pointed out numerically and with limited precision. We first provide a thorough numerical analysis and discover returns that are so accurate that it would be tantalizing to sign off the small imperfections as an artifact of numerics. To clarify the situation, we introduce a systematic analytic approach by focusing on solutions with spectra localized around one of the two lowest modes. This allows us to demonstrate that in the gravitational case the returns are not exact. Furthermore, our analysis predicts and explains specific integer numbers of direct-reverse cascade sequences that result in particularly accurate energy returns (elaborate hierarchies of more and less precise returns arise if one waits for appropriate longer multiple periods in this manner). In addition, we explain, at least in this regime, the ubiquitous appearance of direct-reverse cascades in the weakly nonlinear dynamics of AdS-like systems
PB American Physical Society
SN 2470-0010
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21572
UL http://hdl.handle.net/10347/21572
LA eng
NO Biasi, A., Craps, B., & Evnin, O. (2019). Energy returns in global AdS4. Physical Review D, 100(2). doi: 10.1103/physrevd.100.024008
NO This research hasbeen supported by CUniverse research promotion project(CUAASC), by FWO-Vlaanderen (projects No. G044016Nand No. G006918N), by Vrije Universiteit Brussel throughthe Strategic Research Program “High-Energy Physics,”by FPA2014-52218-P from Ministerio de Economia yCompetitividad, by Xunta de Galicia ED431C 2017/07,by the European Regional Development Fund (FEDER) andby Grant María de Maeztu Unit of Excellence MDM-2016-0692.This research has benefited from the use computationalresources/services provided by the Galician SupercomputingCentre (CESGA). A. B. thanks the Spanish program“ayudas para contratos predoctorales para la formación dedoctores 2015” and its mobility program for his stay atVrije Universiteit Brussel, where part of this project wasdeveloped
DS Minerva
RD 1 may 2026