New developments in special geometry
High Energy Physics - Theory
2007-05-23 v1
Abstract
We review recent developments in special geometry, emphasizing the role of real coordinates. In the first part we discuss the para-complex geometry of vector and hypermultiplets in rigid Euclidean N=2 supersymmetry. In the second part we study the variational principle governing the near horizon limit of BPS black holes in matter-coupled N=2 supergravity and observe that the black hole entropy is the Legendre transform of the Hesse potential encoding the geometry of the scalar fields.
Cite
@article{arxiv.hep-th/0602171,
title = {New developments in special geometry},
author = {Thomas Mohaupt},
journal= {arXiv preprint arXiv:hep-th/0602171},
year = {2007}
}
Comments
27 pages, contributed to the Handbook on Pseudo-Riemannian Geometry and Supersymmetry