The KZB equations on Riemann surfaces

Details The KZB equations on Riemann surfaces The KZB equations on Riemann surfaces

1996-09-18

arxiv.org/abs/hep-th/9609153v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX, to appear in the Proceedings of the 1995 les Houches Summer School

Scientific paper

In this paper, based on the author's lectures at the 1995 les Houches Summer school, explicit expressions for the Friedan--Shenker connection on the vector bundle of WZW conformal blocks on the moduli space of curves with tangent vectors at $n$ marked points are given. The covariant derivatives are expressed in terms of ``dynamical $r$-matrices'', a notion borrowed from integrable systems. The case of marked points moving on a fixed Riemann surface is studied more closely. We prove a universal form of the (projective) flatness of the connection: the covariant derivatives commute as differential operators with coefficients in the universal enveloping algebra -- not just when acting on conformal blocks.

Affiliated with

Also associated with

No associations

Rating

The KZB equations on Riemann surfaces 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 The KZB equations on Riemann surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The KZB equations on Riemann surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471604