The Kähler Potential of Abelian Higgs Vortices

Details The Kähler Potential of Abelian Higgs Vortices The Kähler Potential of Abelian Higgs Vortices

2004-07-02

arxiv.org/abs/hep-th/0407011v1

J.Math.Phys. 46 (2005) 052305

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1063/1.1874334

We calculate the K\"ahler potential for the Samols metric on the moduli space of Abelian Higgs vortices on $\mathbbm{R}^{2}$, in two different ways. The first uses a scaling argument. The second is related to the Polyakov conjecture in Liouville field theory. The K\"ahler potential on the moduli space of vortices on $\mathbbm{H}^{2}$ is also derived, and we are led to a geometrical reinterpretation of these vortices. Finally, we attempt to find the K\"ahler potential for vortices on $\mathbbm{R}^{2}$ in a third way by relating the vortices to SU(2) Yang-Mills instantons on $\mathbbm{R}^{2}\times S^{2}$. This approach does not give the correct result, and we offer a possible explanation for this.

Affiliated with

Also associated with

No associations

Rating

The Kähler Potential of Abelian Higgs Vortices 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 Kähler Potential of Abelian Higgs Vortices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Kähler Potential of Abelian Higgs Vortices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203837