Harmonicity in N=4 supersymmetry and its quantum anomaly

Details Harmonicity in N=4 supersymmetry and its quantum anomaly Harmonicity in N=4 supersymmetry and its quantum anomaly

2007-08-03

arxiv.org/abs/0708.0482v1

Nucl.Phys.B794:348-380,2008

Physics

High Energy Physics

High Energy Physics - Theory

36 pages

Scientific paper

10.1016/j.nuclphysb.2007.11.005

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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