Abstract
A general method of constructing canonical gauge-invariant actions is used to establish the equivalence between 2-D induced gravity and a WZNW system, defined by a difference of two simple WZNW actions for the SL (2, R) group. The diffeomorphism invariance of the induced gravity is generated by the SL (2, R) Kac–Moody structure of the WZNW system.
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