Light-Cone Parametrizations for KÄhler Manifolds

Details Light-Cone Parametrizations for KÄhler Manifolds Light-Cone Parametrizations for KÄhler Manifolds

1993-04-27

arxiv.org/abs/hep-th/9304132v1

Phys.Lett. B312 (1993) 285-290

Physics

High Energy Physics

High Energy Physics - Theory

(10 pages, no figure, simple LATEX file); preprint LPTENS-93/15, UT-639

Scientific paper

10.1016/0370-2693(93)91082-X

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).

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