Charge Orbits of Extremal Black Holes in Five Dimensional Supergravity

Abstract

We derive the U-duality charge orbits, as well as the related moduli spaces, of "large" and "small" extremal black holes in non-maximal ungauged Maxwell-Einstein supergravities with symmetric scalar manifolds in d=5 space-time dimensions. The stabilizer groups of the various classes of orbits are obtained by determining and solving suitable U-invariant sets of constraints, both in "bare" and "dressed" charges bases, with various methods. After a general treatment of attractors in real special geometry (also considering non-symmetric cases), the N=2 "magic" theories, as well as the N=2 Jordan symmetric sequence, are analyzed in detail. Finally, the half-maximal (N=4) matter-coupled supergravity is also studied in this context.

1+63 pages, 6 Tables

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Cited by in corpus (15)

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• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Small Orbits
• Exceptional Reductions
• Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
• Jordan Pairs, E6 and U-Duality in Five Dimensions
• Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
• Black Holes and Higher Composition Laws
• Real weights, bound states and duality orbits
• Magic Coset Decompositions
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• No Fermionic Wigs for BPS Attractors in 5 Dimensions
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• Jordan meets Freudenthal. A Black Hole Exceptional Story