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dc.contributor.author
Capriotti, Santiago
dc.date.available
2024-06-06T11:33:42Z
dc.date.issued
2024-01
dc.identifier.citation
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
dc.identifier.issn
0022-2488
dc.identifier.uri
http://hdl.handle.net/11336/237273
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CHERN-SIMONS THEORY
dc.subject
CLASSICAL FIELD THEORY
dc.subject
GEOMETRIC MECHANICS
dc.subject
CARTAN CONNECTIONS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-05-27T10:55:45Z
dc.journal.volume
65
dc.journal.number
1
dc.journal.pagination
1-46
dc.journal.pais
Estados Unidos
dc.journal.ciudad
New York
dc.description.fil
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
dc.journal.title
Journal of Mathematical Physics
dc.relation.alternativeid
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
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1063/5.0168465
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2305.18688
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