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

A. Rebhan·P. van Nieuwenhuizen·R. Wimmer
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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.

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A. Rebhan, P. van Nieuwenhuizen, R. Wimmer. 2003-10-01. Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation. https://doi.org/10.1016/j.nuclphysb.2003.11.030

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