Hessian geometry and the holomorphic anomaly
High Energy Physics - Theory
2016-02-25 v2 Differential Geometry
Abstract
We present a geometrical framework which incorporates higher derivative corrections to the action of N = 2 vector multiplets in terms of an enlarged scalar manifold which includes a complex deformation parameter. This enlarged space carries a deformed version of special Kahler geometry which we characterise. The holomorphic anomaly equation arises in this framework from the integrability condition for the existence of a Hesse potential.
Cite
@article{arxiv.1511.06658,
title = {Hessian geometry and the holomorphic anomaly},
author = {Gabriel Lopes Cardoso and Thomas Mohaupt},
journal= {arXiv preprint arXiv:1511.06658},
year = {2016}
}
Comments
43 pages. Revised version: minimal changes. Final version, accepted for publication by JHEP