Exact results in noncommutative N=2 supersymmetric gauge theories

Feb, 2001
26 pages
Published in:
  • JHEP 05 (2001) 051
e-Print:

Citations per year

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Abstract:
We study the low-energy dynamics of noncommutative N=2\N=2 supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.
  • gauge field theory: U(N)
  • supersymmetry
  • differential geometry: noncommutative
  • effective action
  • Seiberg-Witten model
  • instanton
  • perturbation theory: higher-order