Freudenthal duality in gravity: from groups of type E 7 to pre-homogeneous spaces

被引：4

作者：

Marrani A. ^{[1
,2
]}

机构：

[1] Centro Studi e Ricerche “Enrico Fermi”, Via Panisperna 89A, Roma

[2] Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova Via Marzolo 8, Padova

来源：

P-Adic Numbers, Ultrametric Analysis, and Applications | 2015年 / 7卷 / 4期

关键词：

duality; extended supergravity; Freudenthal triple systems; pre-homogeneous vector spaces; special Kähler geometry;

D O I：

10.1134/S207004661504007X

中图分类号：

学科分类号：

摘要：

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)Kähler metric of the pre-homogeneous spaces associated to the U-orbits. © 2015, Pleiades Publishing, Ltd.

引用

页码：322 / 331

页数：9

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