On the tetrahedrally symmetric monopole

Details On the tetrahedrally symmetric monopole On the tetrahedrally symmetric monopole

2009-08-24

arxiv.org/abs/0908.3449v1

Physics

Mathematical Physics

26 pages 2 figures

Scientific paper

We study SU(2) BPS monopoles with spectral curves of the form $\eta^3+\chi(\zeta^6+b \zeta^3-1)=0$. Previous work has has established a countable family of solutions to Hitchin's constraint that $L^2$ was trivial on such a curve. Here we establish that the only curves of this family that yield BPS monopoles correspond to tetrahedrally symmetric monopoles. We introduce several new techniques making use of a factorization theorem of Fay and Accola for theta functions, together with properties of the Humbert variety. The geometry leads us to a formulation purely in terms of elliptic functions. A more general conjecture than needed for the stated result is given.

Affiliated with

Also associated with

No associations

Rating

On the tetrahedrally symmetric monopole 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 On the tetrahedrally symmetric monopole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the tetrahedrally symmetric monopole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698903