Supersymmetric Index Of Three-Dimensional Gauge Theory

Details Supersymmetric Index Of Three-Dimensional Gauge Theory Supersymmetric Index Of Three-Dimensional Gauge Theory

1999-02-27

arxiv.org/abs/hep-th/9903005v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pp. References added

Scientific paper

In N=1 super Yang-Mills theory in three spacetime dimensions, with a simple gauge group $G$ and a Chern-Simons interaction of level $k$, the supersymmetric index $\Tr (-1)^F$ can be computed by making a relation to a pure Chern-Simons theory or microscopically by an explicit Born-Oppenheimer calculation on a two-torus. The result shows that supersymmetry is unbroken if $|k|\geq h/2$ (with $h$ the dual Coxeter number of $G$) and suggests that dynamical supersymmetry breaking occurs for $|k|

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