Kähler–Yang–Mills Equations and Vortices

The Kähler–Yang–Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler–Yang–Mills equations, we consider dimensional reductions of the equation...

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Detalles Bibliográficos
Autor: García-Prada, O.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/381365
Acceso en línea:http://hdl.handle.net/10261/381365
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191244493&doi=10.3842%2fSIGMA.2024.032&partnerID=40&md5=788cdbb301a4274f811137495ad9084c
Access Level:acceso abierto
Palabra clave:Dimensional reduction
Gravitating vortices
Kähler–Yang–Mills equations
Vortices
Stability
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spelling Kähler–Yang–Mills Equations and VorticesGarcía-Prada, O.Dimensional reductionGravitating vorticesKähler–Yang–Mills equationsVorticesStabilityThe Kähler–Yang–Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler–Yang–Mills equations, we consider dimensional reductions of the equations related to vortices — solutions to certain Yang–Mills–Higgs equations. © 2024, Institute of Mathematics. All rights reserved.The author thanks his co-authors on the various subjects treated in this paper. These include: Luis Alvarez-C´onsul, Steven Bradlow, Mario Garcia-Fernandez, Peter Gothen, Vamsi Pingali ´ and Chengjian Yao. He also thanks Jean-Pierre Bourguignon for comments and corrections on the first draft of this paper, and the IHES for its hospitality and support. Partially supported by the Spanish Ministry of Science and Innovation, through the “Severo Ochoa Programme for Centres of Excellence in R&D (CEX2019-000904-S)” and PID2022-141387NB-C21.Peer reviewedNational Academy of Sciences of UkraineMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/381365https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191244493&doi=10.3842%2fSIGMA.2024.032&partnerID=40&md5=788cdbb301a4274f811137495ad9084creponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.3842/SIGMA.2024.032Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3813652026-05-22T06:33:51Z
dc.title.none.fl_str_mv Kähler–Yang–Mills Equations and Vortices
title Kähler–Yang–Mills Equations and Vortices
spellingShingle Kähler–Yang–Mills Equations and Vortices
García-Prada, O.
Dimensional reduction
Gravitating vortices
Kähler–Yang–Mills equations
Vortices
Stability
title_short Kähler–Yang–Mills Equations and Vortices
title_full Kähler–Yang–Mills Equations and Vortices
title_fullStr Kähler–Yang–Mills Equations and Vortices
title_full_unstemmed Kähler–Yang–Mills Equations and Vortices
title_sort Kähler–Yang–Mills Equations and Vortices
dc.creator.none.fl_str_mv García-Prada, O.
author García-Prada, O.
author_facet García-Prada, O.
author_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Dimensional reduction
Gravitating vortices
Kähler–Yang–Mills equations
Vortices
Stability
topic Dimensional reduction
Gravitating vortices
Kähler–Yang–Mills equations
Vortices
Stability
description The Kähler–Yang–Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler–Yang–Mills equations, we consider dimensional reductions of the equations related to vortices — solutions to certain Yang–Mills–Higgs equations. © 2024, Institute of Mathematics. All rights reserved.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/381365
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191244493&doi=10.3842%2fSIGMA.2024.032&partnerID=40&md5=788cdbb301a4274f811137495ad9084c
url http://hdl.handle.net/10261/381365
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191244493&doi=10.3842%2fSIGMA.2024.032&partnerID=40&md5=788cdbb301a4274f811137495ad9084c
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.3842/SIGMA.2024.032
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv National Academy of Sciences of Ukraine
publisher.none.fl_str_mv National Academy of Sciences of Ukraine
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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