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We further discuss a rotating dual giant Wilson loop (D3-brane) solutionconstructed in Lorentzian AdS by Drukker et al. The solution is shown to becomposed of a dual giant Wilson loop and a dual giant graviton by minutelyexamining its shape. This observation suggests that the correspondinggauge-theory operator should be a k-th symmetric Wilson loop with theinsertions of dual giant graviton operators. To support the correspondence, theclassical action of the solution should be computed and compared with thegauge-theory result. For this purpose we first perform a Wick rotation to theLorentzian solution by following the tunneling prescription and obtainEuclidean solutions corresponding to a circular or a straight-line Wilson loop.In Euclidean signature boundary terms can be properly considered in thestandard manner and the classical action for the Euclidean solutions can beevaluated. The result indeed reproduces the expectation value of the k-thsymmetric Wilson loop as well as the power-law behavior of the correlationfunction of dual giant graviton operators.

A tunneling picture of dual giant Wilson loop