Connected correlator of 1/2 BPS Wilson loops in N=4 SYM

We study the connected correlator of 1/2 BPS winding Wilson loops in N=4 N = 4 U(N) super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite N expression of the connected correlator of such Wilson loops. We show that the 1/N expansion of this exact result is reproduced from the topological recursion of Gaussian matrix model. We also study the exact finite N expression of the generating function of 1/2 BPS Wilson loops in the symmetric representation.