ar X iv : h ep - t h / 04 10 05 6 v 3 27 J an 2 00 5 Field Theory
نویسنده
چکیده
There is much discussion of scenarios where the space-time coordinates x are noncommutative. The discussion has been extended to include nontrivial anticommutation relations among spinor coordinates in superspace. A number of authors have studied field theoretical consequences of the deformation of N = 1 superspace arising from nonanticommutativity of coordinates θ, while leaving θ̄’s anticommuting. This is possible in Euclidean superspace only. In this note we present a way to extend the discussion by making both θ and θ̄ coordinates non-anticommuting in Minkowski superspace. We present a consistent algebra for the supercoordinates, find a starproduct, and give the Wess-Zumino Lagrangian LWZ within our model. It has two extra terms due to non(anti)commutativity. The Lagrangian in Minkowski superspace is always manifestly Hermitian and for LWZ it preserves Lorentz invariance.
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