Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections
- Autores
- Capriotti, Santiago
- Año de publicación
- 2024
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The purpose of this article is to study the correspondence between 3d-gravity and the Chern–Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accomplish this, the paper discusses a variational problem of the Chern–Simons type on a principal fiber bundle with this group as its structure group. The connection to the usual Chern–Simons theory is established by utilizing a generalization, in the context of Cartan connections, of the notion of extension and reduction of connections.
Fil: Capriotti, Santiago. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina - Materia
-
CHERN-SIMONS THEORY
CLASSICAL FIELD THEORY
GEOMETRIC MECHANICS
CARTAN CONNECTIONS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/237273
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Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connectionsCapriotti, SantiagoCHERN-SIMONS THEORYCLASSICAL FIELD THEORYGEOMETRIC MECHANICSCARTAN CONNECTIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The purpose of this article is to study the correspondence between 3d-gravity and the Chern–Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accomplish this, the paper discusses a variational problem of the Chern–Simons type on a principal fiber bundle with this group as its structure group. The connection to the usual Chern–Simons theory is established by utilizing a generalization, in the context of Cartan connections, of the notion of extension and reduction of connections.Fil: Capriotti, Santiago. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaAmerican Institute of Physics2024-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/237273Capriotti, Santiago; Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections; American Institute of Physics; Journal of Mathematical Physics; 65; 1; 1-2024; 1-460022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://pubs.aip.org/aip/jmp/article-abstract/65/1/013506/3253560/Chern-Simons-field-theory-on-the-general-affine?redirectedFrom=fulltextinfo:eu-repo/semantics/altIdentifier/doi/10.1063/5.0168465info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2305.18688info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:46Zoai:ri.conicet.gov.ar:11336/237273instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:09:46.303CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
title |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
spellingShingle |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections Capriotti, Santiago CHERN-SIMONS THEORY CLASSICAL FIELD THEORY GEOMETRIC MECHANICS CARTAN CONNECTIONS |
title_short |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
title_full |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
title_fullStr |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
title_full_unstemmed |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
title_sort |
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections |
dc.creator.none.fl_str_mv |
Capriotti, Santiago |
author |
Capriotti, Santiago |
author_facet |
Capriotti, Santiago |
author_role |
author |
dc.subject.none.fl_str_mv |
CHERN-SIMONS THEORY CLASSICAL FIELD THEORY GEOMETRIC MECHANICS CARTAN CONNECTIONS |
topic |
CHERN-SIMONS THEORY CLASSICAL FIELD THEORY GEOMETRIC MECHANICS CARTAN CONNECTIONS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
The purpose of this article is to study the correspondence between 3d-gravity and the Chern–Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accomplish this, the paper discusses a variational problem of the Chern–Simons type on a principal fiber bundle with this group as its structure group. The connection to the usual Chern–Simons theory is established by utilizing a generalization, in the context of Cartan connections, of the notion of extension and reduction of connections. Fil: Capriotti, Santiago. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina |
description |
The purpose of this article is to study the correspondence between 3d-gravity and the Chern–Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accomplish this, the paper discusses a variational problem of the Chern–Simons type on a principal fiber bundle with this group as its structure group. The connection to the usual Chern–Simons theory is established by utilizing a generalization, in the context of Cartan connections, of the notion of extension and reduction of connections. |
publishDate |
2024 |
dc.date.none.fl_str_mv |
2024-01 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/237273 Capriotti, Santiago; Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections; American Institute of Physics; Journal of Mathematical Physics; 65; 1; 1-2024; 1-46 0022-2488 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/237273 |
identifier_str_mv |
Capriotti, Santiago; Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections; American Institute of Physics; Journal of Mathematical Physics; 65; 1; 1-2024; 1-46 0022-2488 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://pubs.aip.org/aip/jmp/article-abstract/65/1/013506/3253560/Chern-Simons-field-theory-on-the-general-affine?redirectedFrom=fulltext info:eu-repo/semantics/altIdentifier/doi/10.1063/5.0168465 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2305.18688 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
American Institute of Physics |
publisher.none.fl_str_mv |
American Institute of Physics |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844613979951857664 |
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13.070432 |