Finite W_3 Transformations in a Multi-time Approach

Details Finite W_3 Transformations in a Multi-time Approach Finite W_3 Transformations in a Multi-time Approach

1994-09-05

arxiv.org/abs/hep-th/9409024v1

Phys.Lett.B339:59-64,1994

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, UB-ECM-PF 94/20, TOHO-FP-9448, QMW-PH-94-25

Scientific paper

10.1016/0370-2693(94)91132-0

Classical {\W}$_3$ transformations are discussed as restricted diffeomorphism transformations (\W-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended {\W}$_3$ generators are given as particular combinations of Christoffel symbols. The defining equations of \W-Diff are shown to depend on these generators explicitly. We also consider the issues of finite transformations, global $SL(3)$ transformations and \W-Schwarzians.

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