A Note on Supersymmetric WZW term in Four Dimensions

Details A Note on Supersymmetric WZW term in Four Dimensions A Note on Supersymmetric WZW term in Four Dimensions

2001-01-25

arxiv.org/abs/hep-th/0101166v2

Mod.Phys.Lett. A15 (2000) 2327-2334

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages, no figures, typos corrected, references added, accepted for publication in Modern Physics Letters A

Scientific paper

10.1142/S0217732300002917

We reconsider the supersymmetric Wess-Zumino-Witten (SWZW) term in four dimensions. It has been known that the manifestly supersymmetric form of the SWZW term includes derivative terms on auxiliary fields, the highest components of chiral superfields, and then we cannot eliminate them by their equations of motion. We discuss a possibility for the elimination of such derivative terms by adding total derivative terms. Although the most of derivative terms can be eliminated as in this way, we find that all the derivative terms can be canceled, if and only if an anomalous term in SWZW term vanishes. As a byproduct, we find the first example of a higher derivative term free from such a problem.

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