Invariant Regularization of Supersymmetric Chiral Gauge Theory

Details Invariant Regularization of Supersymmetric Chiral Gauge Theory Invariant Regularization of Supersymmetric Chiral Gauge Theory

1999-05-31

arxiv.org/abs/hep-th/9905225v1

Prog.Theor.Phys.Suppl.135:194-210,1999

Physics

High Energy Physics

High Energy Physics - Theory

uses PTPTeX, 16 pages, based on the invited talk in the workshop on ``Gauge Theory and Integrable Models,'' January 1999, Kyot

Scientific paper

10.1143/PTPS.135.194

We present a regularization scheme which respects the supersymmetry and the maximal background gauge covariance in supersymmetric chiral gauge theories. When the anomaly cancellation condition is satisfied, the effective action in the superfield background field method automatically restores the gauge invariance without counterterms. The scheme also provides a background gauge covariant definition of composite operators that is especially useful in analyzing anomalies. We present several applications: The minimal consistent gauge anomaly; the super-chiral anomaly and the superconformal anomaly; as the corresponding anomalous commutators, the Konishi anomaly and an anomalous supersymmetric transformation law of the supercurrent (the ``central extension'' of N=1 supersymmetry algebra) and of the R-current.

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