2015/09/03 by Alessio Marrani, Marrani, Alessio
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1509.01031
1+10 pages, 2 Tables. v2: Eq. (7) added. Talk presented at the Conference "Group Theory, Probability, and the Structure of Spacetime", in honor of V. S. Varadarajan, UCLA Dept. of Mathematics, Nov. 7-9 2014. To appear in a special issue of "p-Adic Numbers, Ultrametric Analysis and Applications"
arxiv created 2015/09/29 · arxiv updated 2015/09/30
Freudenthal duality can be defined as an anti-involutive, non-linear map acting on symplectic spaces. It was introduced in four-dimensional Maxwell-Einstein theories coupled to a non-linear sigma model of scalar fields. In this short review, I will consider its relation to the U-duality Lie groups of type E7 in extended supergravity theories, and comment on the relation between the Hessian of the black hole entropy and the pseudo-Euclidean, rigid special (pseudo)Kaehler metric of the pre-homogeneous spaces associated to the U-orbits.