Revisiting Critical Vortices in Three-Dimensional SQED

Details Revisiting Critical Vortices in Three-Dimensional SQED Revisiting Critical Vortices in Three-Dimensional SQED

2008-08-13

arxiv.org/abs/0808.1859v2

Phys.Rev.D78:125021,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 2 figures Minor modifications, reference added

Scientific paper

10.1103/PhysRevD.78.125021

We consider renormalization of the central charge and the mass of the ${\cal N}=2$ supersymmetric Abelian vortices in 2+1 dimensions. We obtain ${\cal N}=2$ supersymmetric theory in 2+1 dimensions by dimensionally reducing the ${\cal N}=1$ SQED in 3+1 dimensions with two chiral fields carrying opposite charges. Then we introduce a mass for one of the matter multiplets without breaking N=2 supersymmetry. This massive multiplet is viewed as a regulator in the large mass limit. We show that the mass and the central charge of the vortex get the same nonvanishing quantum corrections, which preserves BPS saturation at the quantum level. Comparison with the operator form of the central extension exhibits fractionalization of a global U(1) charge; it becomes 1/2 for the minimal vortex. The very fact of the mass and charge renormalization is due to a "reflection" of an unbalanced number of the fermion and boson zero modes on the vortex in the regulator sector.

Affiliated with

Also associated with

No associations

Rating

Revisiting Critical Vortices in Three-Dimensional SQED 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 Revisiting Critical Vortices in Three-Dimensional SQED, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Revisiting Critical Vortices in Three-Dimensional SQED will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387018