Semi-classical open string corrections and symmetric Wilson loops

In AdS/CFT correspondence, an AdS2×S D3-brane with electric flux in AdS5× S5 spacetime corresponds to a circular Wilson loop of 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.