Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-22
Int.J.Mod.Phys.D20:839-849,2011
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figures. To appear in "Quantum Gravity and the Foundations of Physics", conference held in honor of Prof. Mario C
Scientific paper
10.1142/S0218271811019177
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 delta-like singularity at the apex of the conical defect, but that doesn't 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 couple to a (2n+1) Chern-Simons form. The construction suggests a generic role for Chern-Simons 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.
Edelstein Jose D.
Garbarz Alan
Miskovic Olivera
Zanelli Jorge
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