English

Invariant Regularization of Supersymmetric Chiral Gauge Theory

High Energy Physics - Theory 2009-10-31 v5 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.hep-th/9801062,
  title  = {Invariant Regularization of Supersymmetric Chiral Gauge Theory},
  author = {Takuya Hayashi and Yoshihisa Ohshima and Kiyoshi Okuyama and Hiroshi Suzuki},
  journal= {arXiv preprint arXiv:hep-th/9801062},
  year   = {2009}
}

Comments

43 pages, PHYZZX. Final version to appear in Prog. Theor. Phys