AdS2 type-IIA solutions and scale separation
Dieter Lüst, Dimitrios Tsimpis
Abstract
A bstract In this note we examine certain classes of solutions of IIA theory without sources, of the form AdS 2 × ℳ (1) × ⋯ × ℳ ( n ) , where ℳ ( i ) are Riemannian spaces. We show that large hierarchies of curvatures can be obtained between the different factors, however the absolute value of the scalar curvature of AdS 2 must be of the same order or larger than the absolute values of the scalar curvatures of all the other factors.
Topics & Concepts
PhysicsCurvatureScalar curvatureScalar (mathematics)Scale (ratio)Mathematical physicsScalar fieldOrder (exchange)Absolute (philosophy)Mathematical analysisMeasure (data warehouse)Absolute scaleClassical mechanicsFirst orderDifferential geometryGeometry and complex manifoldsGeometric Analysis and Curvature FlowsBlack Holes and Theoretical Physics