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A new anomalous contribution to the central charge of the N=2 monopole

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

We calculate the one-loop corrections to the mass and central charge of the BPS monopole in N=2 super-Yang-Mills theory in 3+1 dimensions using a supersymmetry-preserving version of dimensional regularization adapted to solitons. In the renormalization scheme where previous studies have indicated vanishing quantum corrections, we find nontrivial corrections that we identify as the 3+1 dimensional analogue of the anomaly in the conformal central charge of the N=1 supersymmetric kink in 1+1 dimensions. As in the latter case, the associated contribution to the ordinary central charge has exactly the required magnitude to preserve BPS saturation at the one-loop level. It also restores consistency of calculations involving sums over zero-point energies with the low-energy effective action of Seiberg and Witten.

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A. Rebhan, P. van Nieuwenhuizen, R. Wimmer. 2004-04-28. A new anomalous contribution to the central charge of the N=2 monopole. https://doi.org/10.1016/j.physletb.2004.05.023

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