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Abstract

Correlator of Wilson and t'Hooft Loops at Strong Coupling in N=4 SYM Theory

We calculate the correlator of a 't Hooft and a Wilson coplanar circular concentric loops at strong coupling in $N=4$ SYM theory. We find that at any temperature there exists a phase transition point: beneath some specific value of 't Hooft loop radius the dual counterpart of Wilson-'t Hooft correlator is organized as two disconnected surfaces in AdS, whereas for 't Hooft loop radius above it, there exists a connected configuration with a junction of monopole, charge and dyon surfaces. We suggest a generalization of the entanglement entropy for charged boundaries, which now transforms under the action of SL(2,Z) and make some comments on its calculation at strong coupling.

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