Classical stability of round and squashed seven-spheres in eleven-dimensional supergravity

Journal Article · Thu Dec 15 04:00:00 EST 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.2976· OSTI ID:5375597

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Four-dimensional field equations are derived for perturbations of the seven-sphere size and squashing parameter in eleven-dimensional supergravity configurations in which the rank-four tensor gauge field strength is proportional to the four-dimensional volume element. Field equations are also derived for perturbations in the size of a round or squashed Einstein-metric S/sup 7/ and in the magnitude of gauge-field-potential components proportional to an antisymmetric torsion tensor on these seven-spheres. The known anti--de Sitter--invariant solutions with round or squashed seven-spheres are shown to be classically stable to these perturbations.

• Research Organization: Center for Theoretical Physics, The University of Texas at Austin, Austin, Texas 78712 and Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802
• OSTI ID: 5375597
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COSMOLOGY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MECHANICS
METRICS
PERTURBATION THEORY
SCALAR FIELDS
SPACE-TIME
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
UNIFIED-FIELD THEORIES