Semi-classical open string corrections and symmetric Wilson loops

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 4 figures. v2: explanation improved. v3: argument in section 2 is improved, result not changed

Scientific paper

10.1088/1126-6708/2007/06/073

In the AdS/CFT correspondence, an AdS_2 x S^2 D3-brane with electric flux in AdS_5 x S^5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N=4 super Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large 't Hooft coupling. We study semi-classically the disk open string attached to the D3-brane. We obtain the exponent of the term and it agrees with the result of the matrix model calculation of the symmetric Wilson loop.

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