Non Abelian gauge theories, prepotentials and Abelian differentials

Details Non Abelian gauge theories, prepotentials and Abelian differentials Non Abelian gauge theories, prepotentials and Abelian differentials

2008-10-08

arxiv.org/abs/0810.1536v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, based on talks, given at Workshop on combinatorics of moduli spaces, Hurwitz numbers, and cluster algebras; Abel Sym

Scientific paper

I discuss particular solutions of the integrable systems, starting from well-known dispersionless KdV and Toda hierarchies, which define in most straightforward way the generating functions for the Gromov-Witten classes in terms of the rational complex curve. On the ``mirror'' side these generating functions can be identified with the simplest prepotentials of complex manifolds, and I present few more exactly calculable examples of them. For the higher genus curves, corresponding in this context to the non Abelian gauge theories via the topological gauge/string duality, similar solutions are constructed using extended basis of Abelian differentials, generally with extra singularities at the branching points of the curve.

Affiliated with

Also associated with

No associations

Rating

Non Abelian gauge theories, prepotentials and Abelian differentials 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 Non Abelian gauge theories, prepotentials and Abelian differentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non Abelian gauge theories, prepotentials and Abelian differentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-460197