Freudenthal Duality and Generalized Special Geometry
High Energy Physics - Theory
2015-05-27 v2
Abstract
Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on the dyonic charge vector in d = 4 space-time dimensions for those dualities admitting a quartic invariant, is proved to be a symmetry not only of the classical Bekenstein-Hawking entropy but also of the critical points of the black hole potential. Furthermore, Freudenthal duality is extended to any generalized special geometry, thus encompassing all N > 2 supergravities, as well as N = 2 generic special geometry, not necessarily having a coset space structure.
Cite
@article{arxiv.1102.4857,
title = {Freudenthal Duality and Generalized Special Geometry},
author = {Sergio Ferrara and Alessio Marrani and Armen Yeranyan},
journal= {arXiv preprint arXiv:1102.4857},
year = {2015}
}
Comments
1+9 pages; v2: some parts rewritten, Ref. added, to appear in PLB