Correlation Function of Circular Wilson Loops at Strong Coupling

Understand

We study the correlation function of two circular Wilson loops at strong coupling in N=4 super Yang-Mills theory.

• Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary of AdS, and the fluctuations around the classical solution in AdS_5 x S^5.
• At the classical level, we derive the string solution in H_3 x S^1 explicitly, and focus on properties such as stability and phase transition.
• Furthermore, a computation of the associated algebraic curve is given.