Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory

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We review shortly present status of quantum deformations of Poincaré and conformal supersymmetries. After recalling the $κ$-deformation of $\hbox{D=4}$ 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 $κ$-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

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