Super-Galilei Invariant Field Theories in 2+1 Dimensions

Details Super-Galilei Invariant Field Theories in 2+1 Dimensions Super-Galilei Invariant Field Theories in 2+1 Dimensions

1995-07-03

arxiv.org/abs/hep-th/9507007v1

Phys.Rev.D52:5997-6007,1995

Physics

High Energy Physics

High Energy Physics - Theory

25 pages + 2 postscript figures, phyzzx and psfig required

Scientific paper

10.1103/PhysRevD.52.5997

We extend the Galilei group of space-time transformations by gradation, construct interacting field-theoretic representations of this algebra, and show that non-relativistic Super-Chern-Simons theory is a special case. We also study the generalization to matrix valued fields, which are relevant to the formulation of superstring theory as a $1/N_c$ expansion of a field theory. We find that in the matrix case, the field theory is much more restricted by the supersymmetry.

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