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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...

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Detalles Bibliográficos
Autores principales: Halverson, James, Plesser, Michael, Ruehle, Fabian, Tian, Jiahua
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.101.046010
http://cds.cern.ch/record/2703394
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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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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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
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AT ruehlefabian kahlermodulistabilizationandthepropagationofdecidability
AT tianjiahua kahlermodulistabilizationandthepropagationofdecidability