Notes on operator equations of supercurrent multiplets and the anomaly puzzle in supersymmetric field theories

Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Recently, Komargodski and Seiberg have proposed a new type of supercurrent multiplet which contains the energy-momentum tensor and the supersymmetry current consistently. In this paper we study quantum properties of the supercurrent in renormalizable field theories. We point out that the new supercurrent gives a quite simple resolution to the classic problem, called the anomaly puzzle, that the Adler-Bardeen theorem applied to an R-symmetry current is inconsistent with all order corrections to β functions. We propose an operator equation for the supercurrent in all orders of perturbation theory, and then perform several consistency checks of the equation. The operator equation we propose is consisitent with the one proposed by Shifman and Vainshtein, if we take some care in interpreting the meaning of non-conserved currents.

Original languageEnglish
Article number49
JournalJournal of High Energy Physics
Volume2010
Issue number9
DOIs
Publication statusPublished - Jan 1 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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