  In AdS/CFT analyticity suggests that certain singular behaviors expected at
large 't Hooft coupling should continue smoothly to weak 't Hooft coupling
where the gauge theory is tractable. This may provide a window into stringy
singularity resolution and is a promising technique for studying the signature
of the black hole singularity discussed in hep-th/0306170. We comment briefly
on its status. Our main goal, though, is to study a simple example of this
technique. Gross and Ooguri (hep-th/9805129) have pointed out that the D-brane
minimal surface spanning a pair of 't Hooft loops undergoes a phase transition
as the distance between the loops is varied. We find the analog of this
behavior in the weakly coupled Super Yang Mills theory by computing 't Hooft
loop expectation values there.
