Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation

Abstract

The one-loop quantum corrections to the mass and central charge of the N=2 vortex in 2+1 dimensions are determined using supersymmetry-preserving dimensional regularization by dimensional reduction of the corresponding N=1 model with Fayet-Iliopoulos term in 3+1 dimensions. Both the mass and the central charge turn out to have nonvanishing one-loop corrections which however are equal and thus saturate the Bogomolnyi bound. We explain BPS saturation by standard multiplet shortening arguments, correcting a previous claim in the literature postulating the presence of a second degenerate short multiplet at the quantum level.

1+16 pages LATeX, 1 figure. v3: minor additions

References in corpus (2)

• Quantum corrections to the mass of the supersymmetric vortex
• Topological anomalies from the path integral measure in superspace

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