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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todo:paper_02182718_v20_n5_p839_Edelstein2023-10-03T15:10:56Z Naked singularities, topological defects and brane couplings Edelstein, J.D. Garbarz, A. Mišković, O. Zanelli, J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
brane couplings Naked singularities topological defects |
| spellingShingle |
brane couplings Naked singularities topological defects Edelstein, J.D. Garbarz, A. Mišković, O. Zanelli, J. 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. |
| format |
JOUR |
| author |
Edelstein, J.D. Garbarz, A. Mišković, O. Zanelli, J. |
| author_facet |
Edelstein, J.D. Garbarz, A. Mišković, O. Zanelli, J. |
| author_sort |
Edelstein, J.D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_02182718_v20_n5_p839_Edelstein |
| work_keys_str_mv |
AT edelsteinjd nakedsingularitiestopologicaldefectsandbranecouplings AT garbarza nakedsingularitiestopologicaldefectsandbranecouplings AT miskovico nakedsingularitiestopologicaldefectsandbranecouplings AT zanellij nakedsingularitiestopologicaldefectsandbranecouplings |
| _version_ |
1807319236271407104 |