A proposal for the geometry of W_n gravity

Details A proposal for the geometry of W_n gravity A proposal for the geometry of W_n gravity

1994-05-23

arxiv.org/abs/hep-th/9405146v3

Phys.Lett. B345 (1995) 211-219

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, TIFR/TH/94-14 = IMSc--94/28. revised version (minor changes and references added)

Scientific paper

10.1016/0370-2693(94)01639-T

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.

Affiliated with

Also associated with

No associations

Rating

A proposal for the geometry of W_n gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A proposal for the geometry of W_n gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A proposal for the geometry of W_n gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713624