The Matrix Model for M Theory as an Exemplar of Trace (or Generalized Quantum) Dynamics

Details The Matrix Model for M Theory as an Exemplar of Trace (or Generalized Quantum) Dynamics The Matrix Model for M Theory as an Exemplar of Trace (or Generalized Quantum) Dynamics

1997-03-06

arxiv.org/abs/hep-th/9703053v2

Phys.Lett. B407 (1997) 229-233

Physics

High Energy Physics

High Energy Physics - Theory

plaintex, 13 Pages

Scientific paper

10.1016/S0370-2693(97)00743-0

We show that the recently proposed matrix model for M theory obeys the cyclic trace assumptions underlying generalized quantum or trace dynamics. This permits a verification of supersymmetry as an operator calculation, and a calculation of the supercharge density algebra by using the generalized Poisson bracket, in a basis-independent manner that makes no reference to individual matrix elements. Implications for quantization of the model are discussed. Our results are a special case of a general result presented elsewhere, that all rigid supersymmetry theories can be extended to give supersymmetric trace dynamics theories, in which the supersymmetry algebra is represented by the generalized Poisson bracket of trace supercharges, constructed from fields that form a noncommutative trace class graded operator algebra.

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