Invariant Regularization of Supersymmetric Chiral Gauge Theory. II

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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34 pages, PHYZZX. The final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.100.1033

By undertaking additional analyses postponed in a previous paper, we complete our construction of a manifestly supersymmetric gauge-covariant regularization of supersymmetric chiral gauge theories. We present the following: An evaluation of the covariant gauge anomaly; a proof of the integrability of the covariant gauge current in anomaly-free cases; a calculation of a one-loop superconformal anomaly in the gauge supermultiplet sector. On the last point, we find that the ghost-anti-ghost supermultiplet and the Nakanishi-Lautrup supermultiplet give rise to BRST exact contributions which, due to ``tree-level'' Slavnov-Taylor identities in our regularization scheme, can safely be neglected, at least at the one-loop level.

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