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We introduced a dynamical system given by a difference of two simple SL(2,R)WZNW actions in 2D, and defined the related gauge theory in a consistent way.It is shown that gauge symmetry can be fixed in such a way that, afterintegrating out some dynamical variables in the functional integral, oneobtains the induced gravity action.Comment: LaTeX, 16 page

2D induced gravity as an effective WZNW system