TY - JOUR

T1 - Naked singularities, topological defects and brane couplings

AU - Edelstein, José D.

AU - Garbarz, Alan

AU - MISKOVIC , OLIVERA

AU - Zanelli, Jorge

PY - 2011/5/20

Y1 - 2011/5/20

N2 - 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.

AB - 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.

KW - brane couplings

KW - Naked singularities

KW - topological defects

UR - http://www.scopus.com/inward/record.url?scp=79957526200&partnerID=8YFLogxK

U2 - 10.1142/S0218271811019177

DO - 10.1142/S0218271811019177

M3 - Article

AN - SCOPUS:79957526200

VL - 20

SP - 839

EP - 849

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

SN - 0218-2718

IS - 5

ER -