Evolutionary algorithms for multi-center solutions
Evolutionary algorithms for multi-center solutions
Large classes of multi-center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi-center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black-hole-like throat. These configurations are constrained by regularity, absence of closed timelike curves, and charge quantization. Due to these constraints, constructing explicit solutions with several centers in generic arrangements, and with all parameters in physically relevant ranges, is a hard task. In this work we present an optimization algorithm, based on evolutionary algorithms and Bayesian optimization, that systematically constructs numerical solutions satisfying all constraints. We exhibit explicit examples of novel five-center and seven-center machine-precision solutions.
gr-qc, hep-th, physics.comp-ph, string theory, black holes, supergravity solutions
Rawash, Sami
bc73d094-1595-4ab2-a305-a69ce8b029be
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
8 February 2024
Rawash, Sami
bc73d094-1595-4ab2-a305-a69ce8b029be
Turton, David
6ce84b30-3cc0-42aa-ace5-f298d4260e9b
Rawash, Sami and Turton, David
(2024)
Evolutionary algorithms for multi-center solutions.
Fortschritte der Physik, 72 (2), [2300255].
(doi:10.1002/prop.202300255).
Abstract
Large classes of multi-center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi-center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black-hole-like throat. These configurations are constrained by regularity, absence of closed timelike curves, and charge quantization. Due to these constraints, constructing explicit solutions with several centers in generic arrangements, and with all parameters in physically relevant ranges, is a hard task. In this work we present an optimization algorithm, based on evolutionary algorithms and Bayesian optimization, that systematically constructs numerical solutions satisfying all constraints. We exhibit explicit examples of novel five-center and seven-center machine-precision solutions.
Text
2212.08585v2
- Accepted Manuscript
Text
Fortschritte der Physik - 2023 - Rawash - Evolutionary Algorithms for Multi‐Center Solutions
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More information
Accepted/In Press date: 16 November 2023
e-pub ahead of print date: 30 December 2023
Published date: 8 February 2024
Additional Information:
Funding Information:
We thank Iosif Bena, Johan Blåbäck, Óscar Dias, Bogdan Ganchev, Pierre Heidmann, Anthony Houppe, Daniel Mayerson, Rodolfo Russo, Kostas Skenderis, Marika Taylor, Nicholas Warner and Ben Withers for fruitful discussions. The work of S.R. was supported by a Royal Society URF Enhancement Award. The work of D.T. was supported by a Royal Society Tata University Research Fellowship. We thank the IPhT, CEA Saclay, and the University of Genoa for hospitality during the course of this work.
Keywords:
gr-qc, hep-th, physics.comp-ph, string theory, black holes, supergravity solutions
Identifiers
Local EPrints ID: 486232
URI: http://eprints.soton.ac.uk/id/eprint/486232
ISSN: 1521-3978
PURE UUID: f6597bbd-67db-4d7a-9a4e-107d8f0ab26e
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Date deposited: 15 Jan 2024 17:44
Last modified: 06 Jun 2024 04:04
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Author:
Sami Rawash
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