Geometry and stability of spinning branes in AdS gravity

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

doi:10.1103/physrevd.84.104046

Cited by 10 publications

(9 citation statements)

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“…Couplings of this sort have been considered in the past in various settings, including supergravity [12], in 2+1 AdS gravity [13], and higher dimensions [14,15,16,17]. In our fourdimensional spacetime there are two types of branes that can be coupled in this manner: 0-branes (point particles) and 2-branes (ordinary two-dimensional surfaces evolving in spacetime).…”

Section: Introductionmentioning

confidence: 99%

Optical properties of aθvacuum

Huerta

Zanelli

2012

Phys. Rev. D

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Chern-Simons (CS) forms generalize the minimal coupling between gauge potentials and point charges, to sources represented by charged extended objects (branes). The simplest example of such a CS-brane coupling is a domain wall coupled to the electromagnetic CS three-form. This describes a topologically charged interface where the CS form AdA is supported, separating two three-dimensional spatial regions in 3+1 spacetime. Electrodynamics at either side of the brane is described by the same Maxwell's equations, but those two regions have different vacua, characterized by a different value of the θ parameter multiplying the Pontryagin form F ∧ F . The θ-term is the abelian version of the concept introduced by 't Hooft for the resolution of the U (1) problem in QCD. We point out that CS-generalized classical electrodynamics shows new phenomena when two neighboring regions with different θ-vacua are present. These topological effects result from surface effects induced by the boundary and we explore the consequences of such boundary effects for the propagation of the electromagnetic field in Maxwell theory. Several features, including optical and electrostatic/magnetostatic responses, which may be observable in condensed matter systems, like topological insulators, are discussed.

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Section: Introductionmentioning

confidence: 99%

Optical properties of aθvacuum

Huerta

Zanelli

2012

Phys. Rev. D

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“…We have restricted our discussion to the case of static 2-branes. A natural step forward is to scrutinize a more general situation in which the angular momentum is prompted into the system, i.e., the case of spinning p-branes [20,48]. The existence of spinning BPS p-branes, either with the addition of matter or without it, is a rather interesting problem.…”

Section: Discussionmentioning

confidence: 99%

Stablep-branes in Chern-Simons AdS supergravities

et al. 2010

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We construct static codimension-two branes in any odd dimension D, with negative cosmological constant, and show that they are exact solutions of Chern-Simons (super)gravity theory for (super)AdS D coupled to external sources. The stability of these solutions is analyzed by counting the number of preserved supersymmetries. It is shown that static massive (D − 3)-branes are unstable unless some suitable gauge fields are added and the brane is extremal. In particular, in three dimensions, a 0-brane is recognized as the negative mass counterpart of the BTZ black hole. For these 0-branes, we write explicitly magnetically charged BPS states with various number of preserved supersymmetries within the OSp(p|2) × OSp(q|2) supergroups. In five dimensions, we prove that stable 2-branes with magnetic charge always exist for the generic supergroup SU (2, 2|N ), where N = 4. For the special case N = 4, in which CS supergravity requires the addition of a nontrivial gauge field configuration in order to preserve maximal number of degrees of freedom, we show for two different static 2-branes that they are BPS states (one of which is the ground state), and from the corresponding algebra of charges we show that the energy is bounded from below. In higher dimensions, our results admit a straightforward generalization, although there are presumably more solutions corresponding to different intersections of the elementary objects.

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“…This remains true if the conical defect has angular momentum, although in that case the identification is produced by a Killing vector with a different generator (see, e.g., Ref. [8,11]). In view of this broken symmetry of the solution, one concern would be whether this coupling is compatible with the gauge invariance of the theory.…”

Section: Gauge Invariancementioning

confidence: 99%

“…As in the case of a single brane, the perturbative stability of these configurations can be ensured if the geometry admits a globally defined Killing spinor, which one expects to be possible if the topological defects carry an abelian charge to make them extremal [14]. One may also expect that a Killing spinor can be defined provided the defects are also endowed with angular momenta on the two orthogonal planes [11].…”

Section: Branes Of Various Sizesmentioning

confidence: 99%

Naked Singularities, Topological Defects and Brane Couplings

Edelstein

Garbarz

Mišković

et al. 2011

Int. J. Mod. Phys. D

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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) 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.

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Geometry and stability of spinning branes in AdS gravity

Cited by 10 publications

References 50 publications

Optical properties of aθvacuum

Optical properties of aθvacuum

Stablep-branes in Chern-Simons AdS supergravities

Naked Singularities, Topological Defects and Brane Couplings

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