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arXiv · 0708.0482

Harmonicity in N=4 supersymmetry and its quantum anomaly

I. Antoniadis·S. Hohenegger·K. S. Narain·E. Sokatchev
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Abstract

The holomorphicity property of N=1 superpotentials or of N=2 F-terms involving vector multiplets is generalized to the case of N=4 1/2-BPS effective operators defined in harmonic superspace. The resulting harmonicity equations are shown to control the moduli dependence of the couplings of higher dimensional operators involving powers of the N=4 Weyl superfield, computed by N=4 topological amplitudes. These equations can also be derived on the string side, exhibiting an anomaly from world-sheet boundary contributions that leads to recursion relations for the non-analytic part of the couplings.

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I. Antoniadis, S. Hohenegger, K. S. Narain, E. Sokatchev. 2007-08-03. Harmonicity in N=4 supersymmetry and its quantum anomaly. https://doi.org/10.1016/j.nuclphysb.2007.11.005

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