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Supergravity; groups of type $E_7$; black holes; quantum field theory.

We report some results on the relation between extremal black holes in locally supersymmetric theories of gravity and groups of type $E_7$, 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 Kähler geometry and a ‘generalization’ of groups of type $E_7$.

Sergio Ferrara^{1 2} Alessio Marrani¹

1. Physics Department, Theory Unit, CERN, CH-1211, Genève 23, Switzerland
2. INFN-Laboratori Nazionali di Frascati, Via Enrico Fermi 40, I-00044 Frascati, Italy

Published

June 2012