Abstract
We discuss the correlation function of a circular Wilson loop with one or two local scalar operators in N = 4 supersymmteric Yang-Mills theory. We show that in the case of one local operator such a correlation function is fixed by conformal invariance up to a constant and in the case of two operators it is fixed up to a single function of two variables. These two variables have a clear geometric meaning: after conformal transformation from R 4 to AdS 2 × S 2 they become the geodesic distances in AdS 2 and S 2. We present some explicit results at weak and strong coupling. We also comment that correlators of infinite line Wilson loop with local operators are the same as those for circular loop.
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