Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory

Abstract

We review shortly present status of quantum deformations of Poincaré and conformal supersymmetries. After recalling the $\kappa$-deformation of $D=4$ Poincaré supersymmetries we describe the corresponding star product multiplication for chiral superfields. In order to describe the deformation of chiral vertices in momentum space the integration formula over $\kappa$-deformed chiral superspace is proposed.

arXiv commentLaTeX 2e, 1 figures (included), 13 pages, Invited lecture (J.L.) at NATO Advanced Research Workshop: "Noncommutative Structure in Mathematics and Physics", Kiev, 24-27.09.2000, to be published in Pro., Kluwer Acad. Press

Cited by in corpus (13)

• Non-commutative superspace from string theory
• Non(anti)commutative Superspace
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Deformed N=1 supersymmetry
• Field Theory on Nonanticommutative Superspace
• Noncommutative Supersymmetry in Two Dimensions
• (Non)renormalizability of the D-deformed Wess-Zumino model
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Nonlocal field theory driven by a deformed product. Generalization of Kalb-Ramond duality
• Twisted SUSY: twisted symmetry versus renormalizability