Stable p-branes in Chern-Simons AdS supergravities

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.044053· OSTI ID:21420987

Edelstein, Jose D ^[1]; Garbarz, Alan ^[2]; Miskovic, Olivera ^[3]; Zanelli, Jorge ^[4]

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1. Department of Particle Physics and IGFAE, University of Santiago de Compostela, E-15782 Santiago de Compostela (Spain)
2. Departamento de Fisica, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon 1, 1428, Buenos Aires (Argentina)
3. Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso (Chile)
4. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)

We construct static codimension-two branes in any odd dimension D, with a negative cosmological constant, and show that they are exact solutions of Chern-Simons (super)gravity theory for (super)AdS{sub 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 Banados-Teitelboim-Zanelli black hole. For these 0-branes, we write explicitly magnetically charged Bogomol'nyi-Prasad-Sommerfield states with various numbers of preserved supersymmetries within the OSp(p|2)xOSp(q|2) supergroups. In five dimensions, we prove that stable 2-branes with magnetic charge always exist for the generic supergroup SU(2,4|N), where N{ne}4. For the special case N=4, in which Chern-Simons supergravity requires the addition of a nontrivial gauge field configuration in order to preserve the maximal number of degrees of freedom, we show for two different static 2-branes that they are Bogomol'nyi-Prasad-Sommerfield 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.

• OSTI ID: 21420987
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.044053; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BLACK HOLES
BRANES
CONFIGURATION
COSMOLOGICAL CONSTANT
D-BRANES
DEGREES OF FREEDOM
EXACT SOLUTIONS
GROUND STATES
NEGATIVE MASS
QUANTUM FIELD THEORY
SIMULATION
STABILITY
SU GROUPS
SUPERGRAVITY
SUPERSYMMETRY
ENERGY LEVELS
FIELD THEORIES
HYPOTHESIS
LIE GROUPS
MASS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SPACE
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES