A New look at the vortex equations and dimensional reduction

Details A New look at the vortex equations and dimensional reduction A New look at the vortex equations and dimensional reduction

1997-03-14

arxiv.org/abs/alg-geom/9703019v1

Mathematics

Algebraic Geometry

23 pages, AMSTeX, to be published in the Proceedings of the First USA/Brazil Workshop on Geometry, Topology and Physics, held

Scientific paper

In order to use the technique of dimensional reduction, it is usually necessary for there to be a symmetry coming from a group action. In this paper we consider a situation in which there is no such symmetry, but in which a type of dimensional reduction is nevertheless possible. We obtain a relation between the Coupled Vortex equations on a closed Kahler manifold, $X$, and the Hermitian-Einstein equations on certain $P^1$-bundles over $X$. Our results thus generalize the dimensional reduction results of Garcia-Prada, which apply when the Hermitian-Einstein equations are on $X\times P^1$.

Affiliated with

Also associated with

No associations

Rating

A New look at the vortex equations and dimensional reduction 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 New look at the vortex equations and dimensional reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New look at the vortex equations and dimensional reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369912