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arXiv · hep-th/9801062

Invariant Regularization of Supersymmetric Chiral Gauge Theory

Takuya Hayashi·Yoshihisa Ohshima·Kiyoshi Okuyama·Hiroshi Suzuki
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Abstract

We formulate a manifestly supersymmetric gauge covariant regularization of supersymmetric chiral gauge theories. In our scheme, the effective action in the superfield background field method above one-loop is always supersymmetric and gauge invariant. The gauge anomaly has a covariant form and can emerge only in one-loop diagrams with all the external lines being the background gauge superfield. We also present several illustrative applications in the one-loop approximation: the self-energy part of the chiral multiplet and of the gauge multiplet; 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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Takuya Hayashi, Yoshihisa Ohshima, Kiyoshi Okuyama, Hiroshi Suzuki. 1998-08-07. Invariant Regularization of Supersymmetric Chiral Gauge Theory. https://doi.org/10.1143/ptp.100.627

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