### 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 most of the derivative terms can be eliminated 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 by-product, we find the first example of a higher derivative term free from such problem.

Original language | English |
---|---|

Pages (from-to) | 2327-2333 |

Number of pages | 7 |

Journal | Modern Physics Letters A |

Volume | 15 |

Issue number | 38-39 |

Publication status | Published - 2000 Dec 21 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
- Nuclear and High Energy Physics

### Cite this

*Modern Physics Letters A*,

*15*(38-39), 2327-2333.

**A note on supersymmetric WZW term in four dimensions.** / Nitta, Muneto.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 15, no. 38-39, pp. 2327-2333.

}

TY - JOUR

T1 - A note on supersymmetric WZW term in four dimensions

AU - Nitta, Muneto

PY - 2000/12/21

Y1 - 2000/12/21

N2 - 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 most of the derivative terms can be eliminated 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 by-product, we find the first example of a higher derivative term free from such problem.

AB - 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 most of the derivative terms can be eliminated 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 by-product, we find the first example of a higher derivative term free from such problem.

UR - http://www.scopus.com/inward/record.url?scp=0034700426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034700426&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034700426

VL - 15

SP - 2327

EP - 2333

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 38-39

ER -