Publicación:
The Heterotic-Ricci Flow and Its Three-Dimensional Solitons

Vista sencilla de ítem
dc.contributor.authorMoroianu, Andrei
dc.contributor.authorMurcia, Ángel J.
dc.contributor.authorShahbazi Alonso, Carlos
dc.contributor.orcidhttps://orcid.org/0000-0002-9799-1036
dc.contributor.orcidhttps://orcid.org/0000-0001-9562-8973
dc.contributor.orcidhttps://orcid.org/0000-0003-1185-9569
dc.date.accessioned2025-02-11T10:12:31Z
dc.date.available2025-02-11T10:12:31Z
dc.date.issued2024-03-09
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en J Geom Anal 34, 122 (2024), está disponible en línea en el sitio web del editor: https://doi.org/10.1007/s12220-024-01570-4. The registered version of this article, first published in J Geom Anal 34, 122 (2024), is available online at the publisher's website: https://doi.org/10.1007/s12220-024-01570-4.
dc.description.abstractWe introduce a novel curvature flow, the Heterotic-Ricci flow, as the two-loop renormalization group flow of the Heterotic string common sector and study its three-dimensional compact solitons. The Heterotic-Ricci flow is a coupled curvature evolution flow, depending on a non-negative real parameter, for a complete Riemannian metric and a three-form H on a manifold M. Its most salient feature is that it involves several terms quadratic in the curvature tensor of a metric connection with skew-symmetric torsion H. When the Heterotic-Ricci flow reduces to the generalized Ricci flow and hence it can be understood as a modification of the latter via the second-order correction prescribed by Heterotic string theory, whereas when and the Heterotic-Ricci flow reduces to a constrained version of the RG-2 flow and hence it can be understood as a generalization of the latter via the introduction of the three-form H. Solutions of Heterotic supergravity with trivial gauge bundle, which we call Heterotic solitons, define a particular class of three-dimensional solitons for the Heterotic-Ricci flow and constitute our main object of study. We prove a number of structural results for three-dimensional Heterotic solitons, obtaining, in particular, the complete classification of compact three-dimensional strong Heterotic solitons as hyperbolic three-manifolds or quotients of the Heisenberg group equipped with a left-invariant metric. Furthermore, we prove that all Einstein three-dimensional Heterotic solitons have constant dilaton and leave as open the construction of a Heterotic soliton with non-constant dilaton. In this direction, we prove that Einstein Heterotic solitons with constant dilaton are rigid and therefore cannot be deformed into a solution with non-constant dilaton. This is, to the best of our knowledge, the first rigidity result for compact supergravity solutions in the literature.en
dc.description.versionversión publicada
dc.identifier.citationMoroianu, A., Murcia, Á.J. & Shahbazi, C.S. The Heterotic-Ricci Flow and Its Three-Dimensional Solitons. J Geom Anal 34, 122 (2024). https://doi.org/10.1007/s12220-024-01570-4
dc.identifier.doihttps://doi.org/10.1007/s12220-024-01570-4
dc.identifier.issn1050-6926; e-ISSN: 1559-002X
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25889
dc.journal.issue122
dc.journal.titleThe Journal of Geometric Analysis
dc.journal.volume34
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsRiemannian curvature flowsen
dc.subject.keywordsriemannian solitonsen
dc.subject.keywordssupergravity differential equationsen
dc.subject.keywordsrenormalization group flowsen
dc.titleThe Heterotic-Ricci Flow and Its Three-Dimensional Solitonsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
ShahbaziCarlosThe Heterotic Ricci Flow and It.pdf
Tamaño:
675.68 KB
Formato:
Adobe Portable Document Format
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
3.62 KB
Formato:
Item-specific license agreed to upon submission
Descripción:
Descargar
Colecciones
Artículos y papers