Naked singularities, topological defects and brane couplings

José D. Edelstein, Alan Garbarz, Olivera Mišković, Jorge Zanelli

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish
Pages (from-to)839-849
Number of pages11
JournalInternational Journal of Modern Physics D
Issue number5
StatePublished - 20 May 2011


  • Naked singularities
  • brane couplings
  • topological defects


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