Abstract
There is much discussion of scenarios where the space-time coordinates 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 superspace arising from nonanticommutativity of coordinates , while leaving ’s anticommuting. This is possible in Euclidean superspace only. In this note we present a way to extend the discussion by making both and coordinates nonanticommuting in Minkowski superspace. We present a consistent algebra for the supercoordinates, find a star-product, and give the Wess-Zumino Lagrangian within our model. It has two extra terms due to non(anti)commutativity. The Lagrangian in Minkowski superspace is always manifestly Hermitian and for it preserves Lorentz invariance.
- Received 13 October 2004
DOI:https://doi.org/10.1103/PhysRevD.71.025019
©2005 American Physical Society