Search results for "Killing spinor"

showing 2 items of 2 documents

The geometry of N=3 AdS4 in massive IIA

2018

The geometry of the ${\cal N} = 3$, SO(4)--invariant, AdS$_4$ solution of massive type IIA supergravity that uplifts from the ${\cal N} = 3 $ vacuum of $D=4$ ${\cal N} = 8$ dyonic ISO(7) supergravity is investigated. Firstly, a $D=4$, SO(4)--invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)--invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the ${\cal N} = 3 $ AdS$_4$ solution in massive IIA and analyse its geometry. Locally, the internal $S^6$ geometry corresponds to a warped fibration of $S^2$ and a hemisphere of $S^4$. This can be regarded as a warped generalisati…

High Energy Physics - TheoryNuclear and High Energy PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciSuperstring VacuaFOS: Physical sciencesDuality (optimization)AdS-CFT Correspondence Flux compactifications Supergravity Models Superstring VacuaGeometryType (model theory)AdS-CFT Correspondence01 natural sciencesTwistor theoryAdS-CFT correspondencesupergravity modelsFlux compactifications0103 physical sciences010306 general physicsPhysicsSpinor010308 nuclear & particles physicsPhysicsSupergravityFibrationFísicaAdS/CFT correspondenceHigh Energy Physics - Theory (hep-th)Killing spinorsuperstring vacuaflux compactificationsSupergravity Models
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Manifolds with vectorial torsion

2015

Abstract The present note deals with the properties of metric connections ∇ with vectorial torsion V on semi-Riemannian manifolds ( M n , g ) . We show that the ∇-curvature is symmetric if and only if V ♭ is closed, and that V ⊥ then defines an ( n − 1 ) -dimensional integrable distribution on M n . If the vector field V is exact, we show that the V-curvature coincides up to global rescaling with the Riemannian curvature of a conformally equivalent metric. We prove that it is possible to construct connections with vectorial torsion on warped products of arbitrary dimension matching a given Riemannian or Lorentzian curvature—for example, a V-Ricci-flat connection with vectorial torsion in di…

Mathematics - Differential GeometrySpinor010102 general mathematicsSpinor bundlePrimary 53C25 Secondary 81T30CurvatureDirac operator01 natural sciencesManifoldsymbols.namesakeDifferential Geometry (math.DG)Computational Theory and MathematicsSpinor fieldKilling spinor0103 physical sciencesFOS: MathematicssymbolsMathematics::Differential Geometry010307 mathematical physicsGeometry and Topology0101 mathematicsAnalysisScalar curvatureMathematicsMathematical physicsDifferential Geometry and its Applications
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