The minimal and the new minimal supersymmetric Grand Unified Theories on noncommutative space-time

We construct noncommutative versions of both the minimal and the new minimal supersymmetric Grand Unified Theories (GUTs). The enveloping-algebra formalism is used to carry out such constructions. The beautiful formulation of the Higgs sector of these noncommutative theories is a consequence of the fact that, in the GUTs at hand, the ordinary Higgs fields can be realized as elements of the Clifford algebra Cl-10(C). In the noncommutative supersymmetric GUTs we formulate, supersymmetry is linearly realized by the noncommutative fields; but it is not realized by the ordinary fields that define those noncommutative fields via the Seiberg-Witten map.