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Kähler Moduli Stabilization and the Propagation of Decidability
Diophantine equations are in general undecidable, yet appear readily in string theory. We demonstrate that numerous classes of Diophantine equations arising in string theory are decidable and propose that decidability may propagate through networks of string vacua due to additional structure in the...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.101.046010 http://cds.cern.ch/record/2703394 |
_version_ | 1780964629055275008 |
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author | Halverson, James Plesser, Michael Ruehle, Fabian Tian, Jiahua |
author_facet | Halverson, James Plesser, Michael Ruehle, Fabian Tian, Jiahua |
author_sort | Halverson, James |
collection | CERN |
description | Diophantine equations are in general undecidable, yet appear readily in string theory. We demonstrate that numerous classes of Diophantine equations arising in string theory are decidable and propose that decidability may propagate through networks of string vacua due to additional structure in the theory. Diophantine equations arising in index computations relevant for D3-instanton corrections to the superpotential exhibit propagation of decidability, with new and existing solutions propagating through networks of geometries related by topological transitions. In the geometries we consider, most divisor classes appear in at least one solution, significantly improving prospects for Kähler moduli stabilization across large ensembles of string compactifications. |
id | cern-2703394 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
record_format | invenio |
spelling | cern-27033942023-10-04T08:57:06Zdoi:10.1103/PhysRevD.101.046010http://cds.cern.ch/record/2703394engHalverson, JamesPlesser, MichaelRuehle, FabianTian, JiahuaKähler Moduli Stabilization and the Propagation of Decidabilityhep-thParticle Physics - TheoryDiophantine equations are in general undecidable, yet appear readily in string theory. We demonstrate that numerous classes of Diophantine equations arising in string theory are decidable and propose that decidability may propagate through networks of string vacua due to additional structure in the theory. Diophantine equations arising in index computations relevant for D3-instanton corrections to the superpotential exhibit propagation of decidability, with new and existing solutions propagating through networks of geometries related by topological transitions. In the geometries we consider, most divisor classes appear in at least one solution, significantly improving prospects for Kähler moduli stabilization across large ensembles of string compactifications.Diophantine equations are in general undecidable, yet appear readily in string theory. We demonstrate that numerous classes of Diophantine equations arising in string theory are decidable and propose that decidability may propagate through networks of string vacua due to additional structure in the theory. Diophantine equations arising in index computations relevant for D3-instanton corrections to the superpotential exhibit propagation of decidability, with new and existing solutions propagating through networks of geometries related by topological transitions. In the geometries we consider, most divisor classes appear in at least one solution, significantly improving prospects for Kahler moduli stabilization across large ensembles of string compactifications.arXiv:1911.07835oai:cds.cern.ch:27033942019-11-18 |
spellingShingle | hep-th Particle Physics - Theory Halverson, James Plesser, Michael Ruehle, Fabian Tian, Jiahua Kähler Moduli Stabilization and the Propagation of Decidability |
title | Kähler Moduli Stabilization and the Propagation of Decidability |
title_full | Kähler Moduli Stabilization and the Propagation of Decidability |
title_fullStr | Kähler Moduli Stabilization and the Propagation of Decidability |
title_full_unstemmed | Kähler Moduli Stabilization and the Propagation of Decidability |
title_short | Kähler Moduli Stabilization and the Propagation of Decidability |
title_sort | kähler moduli stabilization and the propagation of decidability |
topic | hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1103/PhysRevD.101.046010 http://cds.cern.ch/record/2703394 |
work_keys_str_mv | AT halversonjames kahlermodulistabilizationandthepropagationofdecidability AT plessermichael kahlermodulistabilizationandthepropagationofdecidability AT ruehlefabian kahlermodulistabilizationandthepropagationofdecidability AT tianjiahua kahlermodulistabilizationandthepropagationofdecidability |