Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory

Abstract

We review shortly present status of quantum deformations of Poincar\'e and conformal supersymmetries. After recalling the -deformation of D=4 Poincar\'e 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 -deformed chiral superspace is proposed.

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