English

A potential for Generalized Kahler Geometry

High Energy Physics - Theory 2010-08-24 v1 Differential Geometry

Abstract

We show that, locally, all geometric objects of Generalized Kahler Geometry can be derived from a function K, the "generalized Kahler potential''. The metric g and two-form B are determined as nonlinear functions of second derivatives of K. These nonlinearities are shown to arise via a quotient construction from an auxiliary local product (ALP) space.

Keywords

Cite

@article{arxiv.hep-th/0703111,
  title  = {A potential for Generalized Kahler Geometry},
  author = {Ulf Lindstrom and Martin Rocek and Rikard von Unge and Maxim Zabzine},
  journal= {arXiv preprint arXiv:hep-th/0703111},
  year   = {2010}
}

Comments

12 pages, contribution to "Handbook of pseudo-Riemannian Geometry and Supersymmetry"