Multitrace deformations and the nonlinear stability of anti–de Sitter space

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2024_PR_serantes_multitrace.pdf (869.31 KB)
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URI: https://hdl.handle.net/10347/42485
ISSN: 2470-0010
E-ISSN: 2470-0029
DOI: 10.1103/PhysRevD.111.024044

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2025-01-15

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American Physical Society
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We investigate the nonlinear stability of global anti–de Sitter space in the presence of multitrace deformations utilizing an Einstein-Klein-Gordon system with a top-down scalar potential. Our numerical simulations show that marginal and irrelevant deformations retain the nonlinear instability originally found by Bizoń and Rostworowski, while relevant deformations disrupt it. We show that the nonlinear impact of multitrace deformations is in one-to-one correspondence with how they affect the resonant character of the global anti–de Sitter normal mode eigenfrequency spectrum.

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This work has received financial support from Xunta de Galicia (Centro singular de investigación de Galicia acreditación 2019-2022, and Grant No. ED431C-2021/14), the European Union ERDF, the “María de Maeztu” Units of Excellence program MDM-2016-0692, the Spanish Research State Agency (Grant No. PID2020–114157 GB-100), and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant No. 101089093 / project acronym: High-TheQ). The work of D. T. M. has been funded by Xunta de Galicia through the “Programa de axudas á etapa predoutoral da Xunta de Galicia” under the Grant No. ED481A-2020/106, by MICIN through the European Union NextGenerationEU recovery plan (PRTR-C17.I1), and by the Galician Regional Government through the “Planes Complementarios de I+D+I con las Comunidades Autónomas” in Quantum Communication.

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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license.
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Física de Partículas
Instituto Galego de Física de Altas Enerxías (IGFAE)