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A Note on supersymmetric WZW term in four dimensions

Muneto Nitta

2000

9 pages

Published in:

Mod.Phys.Lett.A 15 (2000) 2327-2334

e-Print:

hep-th/0101166 [hep-th]

DOI:

10.1142/S0217732300002917

Report number:

TIT-HEP-463

View in:

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Abstract:

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.

Note:

LaTeX, 9 pages, no figures, accepted for publication in Modern Physics Letters A Report-no: TIT/HEP-463

sigma model: nonlinear
Wess-Zumino-Witten model
supersymmetry: superfield
potential: Kaehler

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Figures(0)

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