Bekenstein and Hawking meet Jordan and Freudenthal: non-linear symmetries of black hole entropy

by Dr Alessio Marrani (Centro "Enrico Fermi", Roma, & Physics Dept of Univ. of Padova, & INFN Padova)

Tuesday 10 May 2016, 15:00 → 16:00 Europe/Rome

Aula Teorici (Dipartimento di Fisica e Astronomia)

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 (Jordan) C*-algebras.

Slides Marrani-Bologna-May-11-2016.pdf