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Abstract:
We study four dimensional N=2N=2 supersymmetric gauge theories on R 3×S 1R~3 \times S~1 with a circle of radius RR. They interpolate between four dimensional gauge theories (R=R=\infty) and N=4N=4 supersymmetric gauge theories in three dimensions (R=0R=0). The vacuum structure can be determined quite precisely as a function of RR, agreeing with three and four-dimensional results in the two limits.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • space-time: R(3) x S(1)
  • dimension: 4
  • dimension: 3
  • vacuum state