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A Field Theoretical Model in Noncommutative Minkowski Superspace

Vahagn Nazaryan·Carl E. Carlson
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Abstract

In this talk we present a field theoretical model constructed in Minkowski N=1 superspace with a deformed supercoordinate algebra. Our study is motivated in part by recent results from super-string theory, which show that in a particular scenario in Euclidean superspace the spinor coordinates θdo not anticommute. Field theoretical consequences of this deformation were studied in a number of articles. We present a way to extend the discussion to Minkowski space, by assuming non-vanishing anticommutators for both θ, and \barθ. We give a consistent supercoordinate algebra, and a star product that is real and preserves the (anti)chirality of a product of (anti)chiral superfields. We also give the Wess-Zumino Lagrangian that gains Lorentz-invariant corrections due to non(anti)commutativity within our model. The Lagrangian in Minkowski superspace is also always manifestly Hermitian.

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Vahagn Nazaryan, Carl E. Carlson. 2004-11-01. A Field Theoretical Model in Noncommutative Minkowski Superspace. https://doi.org/10.1142/s0217751x05026820

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