Wilson Loops in N=2 Superconformal Yang-Mills Theory

Details Wilson Loops in N=2 Superconformal Yang-Mills Theory Wilson Loops in N=2 Superconformal Yang-Mills Theory

2010-07-28

arxiv.org/abs/1007.4923v3

JHEP 1009:095,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. v2 minor changes, to appear in JHEP. v3 corrected references

Scientific paper

10.1007/JHEP09(2010)095

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.

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