Naked singularities, topological defects and brane couplings
A conical defect in 2 + 1 anti-de Sitter space is a BTZ solution with a negative mass parameter. This is a naked singularity, but a rather harmless one: it is a point particle. Naturally, the energy density and the spacetime curvature have a δ-like singularity at the conical defect, but that does no...
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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182718_v20_n5_p839_Edelstein http://hdl.handle.net/20.500.12110/paper_02182718_v20_n5_p839_Edelstein |
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paper:paper_02182718_v20_n5_p839_Edelstein2025-07-30T17:59:51Z Naked singularities, topological defects and brane couplings brane couplings Naked singularities topological defects A conical defect in 2 + 1 anti-de Sitter space is a BTZ solution with a negative mass parameter. This is a naked singularity, but a rather harmless one: it is a point particle. Naturally, the energy density and the spacetime curvature have a δ-like singularity at the conical defect, but that does not give rise to any unphysical situations. Since the conical solution implies the presence of a source, applying reverse enginnering, one can identify the coupling term that is required in the action to account for that source. In that way, a relation is established between the identification operation that gives rise to the topological defect and the interaction term in the action that produces it. This idea has a natural extension to higher dimensions, where instead of a point particle (zero-brane) one finds membranes of even spatial dimensions (p-branes, with p = 2n). The generalization to other abelian and nonabelian gauge theories including (super-) gravities is fairly straightforward: the 2n-brane couples to a (2n + 1) ChernSimons form. The construction suggests a generic role for ChernSimons forms as the natural way to couple a gauge connection to a brane and avoids the inconsistency that results from the minimal coupling between a brane and a fundamental p-form field. © 2011 World Scientific Publishing Company. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182718_v20_n5_p839_Edelstein http://hdl.handle.net/20.500.12110/paper_02182718_v20_n5_p839_Edelstein |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
brane couplings Naked singularities topological defects |
| spellingShingle |
brane couplings Naked singularities topological defects Naked singularities, topological defects and brane couplings |
| topic_facet |
brane couplings Naked singularities topological defects |
| description |
A conical defect in 2 + 1 anti-de Sitter space is a BTZ solution with a negative mass parameter. This is a naked singularity, but a rather harmless one: it is a point particle. Naturally, the energy density and the spacetime curvature have a δ-like singularity at the conical defect, but that does not give rise to any unphysical situations. Since the conical solution implies the presence of a source, applying reverse enginnering, one can identify the coupling term that is required in the action to account for that source. In that way, a relation is established between the identification operation that gives rise to the topological defect and the interaction term in the action that produces it. This idea has a natural extension to higher dimensions, where instead of a point particle (zero-brane) one finds membranes of even spatial dimensions (p-branes, with p = 2n). The generalization to other abelian and nonabelian gauge theories including (super-) gravities is fairly straightforward: the 2n-brane couples to a (2n + 1) ChernSimons form. The construction suggests a generic role for ChernSimons forms as the natural way to couple a gauge connection to a brane and avoids the inconsistency that results from the minimal coupling between a brane and a fundamental p-form field. © 2011 World Scientific Publishing Company. |
| title |
Naked singularities, topological defects and brane couplings |
| title_short |
Naked singularities, topological defects and brane couplings |
| title_full |
Naked singularities, topological defects and brane couplings |
| title_fullStr |
Naked singularities, topological defects and brane couplings |
| title_full_unstemmed |
Naked singularities, topological defects and brane couplings |
| title_sort |
naked singularities, topological defects and brane couplings |
| publishDate |
2011 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182718_v20_n5_p839_Edelstein http://hdl.handle.net/20.500.12110/paper_02182718_v20_n5_p839_Edelstein |
| _version_ |
1840326823435567104 |