Light-Cone Parametrizations for K\"Ahler Manifolds
High Energy Physics - Theory
2009-10-22 v1
Abstract
It is shown that, for any K\"ahler manifold, there exist parametrizations such that the metric takes a block-form identical to the light-cone metric introduced by Polyakov for two-dimensional gravity. Besides its possible relevence for various aspects of K\"ahlerian geometry, this fact allows us to change gauge in W gravities, and explicitly go from the conformal (Toda) gauge to the light-cone gauge using the W-geometry we proposed earlier (this will be discussed in detail in a forthcoming article).
Cite
@article{arxiv.hep-th/9304132,
title = {Light-Cone Parametrizations for K\"Ahler Manifolds},
author = {Jean-Loup Gervais and Yutaka Matsuo},
journal= {arXiv preprint arXiv:hep-th/9304132},
year = {2009}
}
Comments
(10 pages, no figure, simple LATEX file); preprint LPTENS-93/15, UT-639