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.

LaTeX 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