  We further discuss a rotating dual giant Wilson loop (D3-brane) solution
constructed in Lorentzian AdS by Drukker et al. The solution is shown to be
composed of a dual giant Wilson loop and a dual giant graviton by minutely
examining its shape. This observation suggests that the corresponding
gauge-theory operator should be a k-th symmetric Wilson loop with the
insertions of dual giant graviton operators. To support the correspondence, the
classical action of the solution should be computed and compared with the
gauge-theory result. For this purpose we first perform a Wick rotation to the
Lorentzian solution by following the tunneling prescription and obtain
Euclidean solutions corresponding to a circular or a straight-line Wilson loop.
In Euclidean signature boundary terms can be properly considered in the
standard manner and the classical action for the Euclidean solutions can be
evaluated. The result indeed reproduces the expectation value of the k-th
symmetric Wilson loop as well as the power-law behavior of the correlation
function of dual giant graviton operators.

High Energy Physics - Theory