Speaker
Dr
Alessio Marrani
("Enrico Fermi" Center, IT)
Description
Freudenthal duality can be defined as an anti-involutive, non-linear map acting on symplectic spaces.
After a general introduction on some aspects of extended (super)gravity theories in four dimensions and the structure of their U-orbits, I will consider their U-duality Lie groups "of type E7", and the corresponding notion of Freudenthal duality.
I will elucidate and comment on the relation between the Hessian of the black hole entropy and the pseudo-Riemannian, rigid, para-special Kaehler metric of the pre-homogeneous vector spaces associated to the U-orbits.
I will conclude with recent developments, including the extension to Abelian gaugings of supergravity (also in presence of hypermultiplets).
Primary author
Dr
Alessio Marrani
("Enrico Fermi" Center, IT)
