Nonlocal Wess-Zumino model on nilpotent noncommutative superspace

Yoshishige Kobayashi and Shin Sasaki
Phys. Rev. D 72, 065015 – Published 21 September 2005

Abstract

We investigate the theory of the bosonic-fermionic noncommutativity, [xμ,θα]=iλμα, and the Wess-Zumino model deformed by the noncommutativity. Such noncommutativity links well-known space-time noncommutativity to superspace non-anticommutativity. The deformation has the nilpotency. We can explicitly evaluate noncommutative effect in terms of new interactions between component fields. The interaction terms that have Grassmann couplings are induced. The noncommutativity does completely break full N=1 supersymmetry to N=0 theory in Minkowski signature. Similar to the space-time noncommutativity, this theory has higher derivative terms and becomes nonlocal theory. However this nonlocality is milder than the space-time noncommutative field theory. Because of the nilpotent feature of the coupling constants, we find that there are only finite number of Feynman diagrams that give noncommutative corrections at each loop order.

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  • Received 6 July 2005

DOI:https://doi.org/10.1103/PhysRevD.72.065015

©2005 American Physical Society

Authors & Affiliations

Yoshishige Kobayashi* and Shin Sasaki

  • Department of Physics, Faculty of Science, Tokyo Metropolitan University, 1-1 Minami-osawa, Hachioji-shi, Tokyo 192-0397, Japan

  • *Electronic address: yosh@phys.metro-u.ac.jp
  • Electronic address: shin-s@phys.metro-u.ac.jp

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Issue

Vol. 72, Iss. 6 — 15 September 2005

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