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25 April 2024
 
  » arxiv » hep-th/9212109

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Recent Progress of the Liouville Approach to 2D Gravity and its Toda (W) Generalizations
Jean-Loup Gervais ;
Date 17 Dec 1992
Subject hep-th
AbstractThese lecture notes review current progress on the class of conformal theories which may be studied by quantizing the conformal Toda dynamics. After summarizing recent developments in undertanding the quantum group structure of the Liouville theory, one recalls how classically, two-dimensional black holes come out from the non-abelian Toda systems, and reviews the geometrical interpretation of the classical $A_n$-Toda theories, just put forward, that relates W-geometries with the external geometries of holomorphic surfaces in complex projective spaces.
Source arXiv, hep-th/9212109
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