Symmetric Spaces in Supergravity

Abstract

We exploit the relation among irreducible Riemannian globally symmetric spaces (IRGS) and supergravity theories in 3, 4 and 5 space-time dimensions. IRGS appear as scalar manifolds of the theories, as well as moduli spaces of the various classes of solutions to the classical extremal black hole Attractor Equations. Relations with Jordan algebras of degree three and four are also outlined.

1+23 pages, 15 Tables. Contribution to the Proceedings of the Conference "Symmetry in Mathematics and Physics", 18-20 Jan. 2008, IPAM (UCLA), in celebration of V. S. Varadarajan's 70th Birthday

References in corpus (2)

• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Conformal symbols and the action of contact vector fields over the superline

Cited by in corpus (9)

• Chevalley Supergroups
• Charge Orbits of Extremal Black Holes in Five Dimensional Supergravity
• Exceptional Reductions
• On holomorphic functions on a compact complex homogeneous supermanifold
• Topics in Cubic Special Geometry
• Iwasawa N=8 Attractors
• Ad-nilpotent ideals and The Shi arrangement
• Equivalence classes of subquotients of pseudodifferential operator modules
• Jordan meets Freudenthal. A Black Hole Exceptional Story