Almost Complex Structures for Electromagnetic Fluxes and Non-Linear Symmetries of Black Hole Entropy

by Dr Alessio Marrani (Enrico Fermi Center, Roma - INFN & Univ. Padova)

Wednesday 30 Mar 2016, 14:30 → 15:30 Europe/Rome

602 (Dip.to di Fisica Univ. Genova)

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 some hints for further future developments, including the extension to Abelian gaugings of supergravity, exploiting the theory of C*-algebras.

Slides Marrani-Genova-Mar-30-2016.pdf