Black Holes and Groups of Type E7

Abstract

We report some results on the relation between extremal black holes in locally supersymmetric theories of gravity and groups of type E7, appearing as generalized electric-magnetic duality symmetries in such theories. Some basics on the covariant approach to the stratification of the relevant symplectic representation are reviewed, along with a connection between special Kaehler geometry and a "generalization" of groups of type E7.

1+15 pages, 2 Tables. Contribution to the Proceedings of the Conference in Honor of Raymond Stora's 80th Birthday, LAPTh, Annecy, July 8, 2011; v2 : typos in Eqs. (3.3) and (3.4) fixed

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• First order flows for N=2 extremal black holes and duality invariants
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Cited by in corpus (7)

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• New E77 invariants and amplitudes
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• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• The supersymmetric black holes of N=8 supergravity
• Multi-Centered Invariants, Plethysm and Grassmannians
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras