TY - JOUR

T1 - Revisiting critical vortices in three-dimensional supersymmetric QED

AU - Ölmez, S.

AU - Shifman, Mikhail "Misha"

PY - 2008/12/2

Y1 - 2008/12/2

N2 - We consider renormalization of the central charge and the mass of the N=2 supersymmetric Abelian vortices in 2+1 dimensions. We obtain N=2 supersymmetric theory in 2+1 dimensions by dimensionally reducing the N=1 supersymmetric QED 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 Bogomol'nyi-Prasad-Sommerfield 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.

AB - We consider renormalization of the central charge and the mass of the N=2 supersymmetric Abelian vortices in 2+1 dimensions. We obtain N=2 supersymmetric theory in 2+1 dimensions by dimensionally reducing the N=1 supersymmetric QED 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 Bogomol'nyi-Prasad-Sommerfield 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.

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U2 - 10.1103/PhysRevD.78.125021

DO - 10.1103/PhysRevD.78.125021

M3 - Article

AN - SCOPUS:58149460251

VL - 78

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 12

M1 - 125021

ER -