Solving AdS₃ string theory at minimal tension: tree-level correlators

We revisit the minimal tension (k = 1) string theory on AdS₃ × S³ × 𝕋⁴. We propose a new free-field description of the worldsheet theory and show how localization of string amplitudes emerges from the path integral. We exemplify our proposal by reproducing the worldsheet partition function of the $\mathfrak{psu}$ \( \mathfrak{psu} \) (1, 1|2)₁ WZW model and providing explicit expressions for spectrally-flowed vertex operators and DDF operators. We compute string correlators in the path integral formalism and obtain a precise tree-level match with correlation functions of the boundary symmetric orbifold.