Toda Field Theory as a Clue to the Geometry of $W_n$--Gravity

Details Toda Field Theory as a Clue to the Geometry of $W_n$--Gravity Toda Field Theory as a Clue to the Geometry of $W_n$--Gravity

1994-11-24

arxiv.org/abs/hep-th/9411184v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX + AmSFonts, macro included; talk given at the XI Italian Congress of General Relativity and Gravitation (SISSA

Scientific paper

We discuss geometrical aspects of Toda Fields generalizing the links between Liouville gravity and uniformization of Riemann surfaces of genus greater than one. The framework is the interplay between the hermitian and the holomorphic geometry of vector bundles on such Riemann surfaces. Pointing out how Toda fields can be considered as equivalent to Higgs systems, we show how the theory of Variations of Hodge Structures enters the game inducing local holomorphic embeddings of Riemann surfaces into homogeneous spaces. The relations of such constructions with previous realizations of $W_n$--geometries are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Toda Field Theory as a Clue to 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 Toda Field Theory as a Clue to the Geometry of $W_n$--Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toda Field Theory as a Clue to the Geometry of $W_n$--Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526250