Consistent Fujikawa regularization of the spinning string in superspace from Pauli-Villars regularization

Fiorenzo Bastianelli and Peter van Nieuwenhuizen
Phys. Rev. D 41, 2525 – Published 15 April 1990
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Abstract

We use Pauli-Villars (PV) regularization of the spinning string in superspace to identify those Fujikawa regulators which produce consistent anomalies. We use a general background gauge, and obtain, after elimination of the nonpropagating fields and using a super-Einstein and Lorentz-invariant mass term, a diagonal Fujikawa regulator with only super-Weyl anomalies. The PV extended action has extra "twisted" Becchi-Rouet-Stora-Tyutin (BRST) symmetries; dropping these, the BRST transformations of the PV fields turn into off-shell superconformal transformations plus field equations. Thus, the transformations of superconformal field theory are just on-shell BRST transformations.

  • Received 29 November 1989

DOI:https://doi.org/10.1103/PhysRevD.41.2525

©1990 American Physical Society

Authors & Affiliations

Fiorenzo Bastianelli and Peter van Nieuwenhuizen

  • Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

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Issue

Vol. 41, Iss. 8 — 15 April 1990

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