Poincaré Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras

Details Poincaré Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras Poincaré Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras

1997-03-18

arxiv.org/abs/hep-th/9703132v1

Nucl.Phys. B499 (1997) 569-582

Physics

High Energy Physics

High Energy Physics - Theory

plaintex, 23 Pages

Scientific paper

10.1016/S0550-3213(97)00352-0

We show that rigid supersymmetry theories in four dimensions can be extended to give supersymmetric trace (or generalized quantum) dynamics theories, in which the supersymmetry algebra is represented by the generalized Poisson bracket of trace supercharges, constructed from fields that form a trace class noncommutative graded operator algebra. In particular, supersymmetry theories can be turned into supersymmetric matrix models this way. We demonstrate our results by detailed component field calculations for the Wess-Zumino and the supersymmetric Yang-Mills models (the latter with axial gauge fixing), and then show that they are also implied by a simple and general superspace argument.

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