Wilson Loops in N=2 Superconformal Yang-Mills Theory

Jul, 2010
17 pages
Published in:
  • JHEP 09 (2010) 095
e-Print:
Report number:
  • HU-EP-10-41

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Abstract: (arXiv)
We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find a massive reduction of required Feynman diagrams, leaving only certain two-matter-loop corrections to the gauge field and associated scalar propagator. This 'diagrammatic difference' leaves a finite result proportional to the bare propagators and allows the recovery of the zeta(3) term coming from the matrix model for the 1/2 BPS circular Wilson loop in the N=2 theory. The result is valid also for closed Wilson loops of general shape. Comments are made concerning light-like polygons and supersymmetric loops in the plane and on S^2.
  • Supersymmetric gauge theory
  • AdS-CFT Correspondence
  • supersymmetry: 2
  • gauge field theory: Yang-Mills: supersymmetry
  • gauge field theory: SU(N)
  • Wilson loop
  • field theory: conformal
  • dimensional reduction
  • matrix model
  • BPS
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