Multiple physics studies establish the theoretical duality connecting Euclidean time (imaginary-time formalism/Wick rotation), finite temperature, and the AdS/CFT correspondence.
The provided literature (such as papers [0], [4], and [9]) explicitly discusses and utilizes the interplay between Euclidean (imaginary-time) formulations, finite temperature, and real-time AdS/CFT correspondences, confirming the claimed duality.