Showing papers by "T. Jayaraman published in 1994"
TL;DR: In this article, the Teichmuller spaces obtained by Hitchin are related to the Teachmullers spaces of the W$-gravity space by identifying the flat PSL(n+1,{\BR})$ connections of Hitchin to generalised vielbeins and connections.
Abstract: We relate the Teichmuller spaces obtained by Hitchin to the Teichmuller spaces of $WA_{n}$-gravity. The relationship of this space to $W$-gravity is obtained by identifying the flat $PSL(n+1,{\BR})$ connections of Hitchin to generalised vielbeins and connections. This is explicitly demonstrated for $WA_2=W_3$ gravity. We show how $W$-diffeomorphisms are obtained in this formulation. We find that particular combinations of the generalised connection play the role of projective connections. We thus obtain $W$-diffeomorphisms in a geometric fashion without invoking the presence of matter fields. This description in terms of vielbeins naturally provides the measure for the gravity sector in the Polyakov path integral for $W$-strings.
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