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Solving AdS$_3$ string theory at minimal tension: tree-level correlators

Published 7 Dec 2023 in hep-th | (2312.04622v2)

Abstract: We revisit the minimal tension ($k=1$) string theory on $\text{AdS}_3\times\text{S}3\times\mathbb{T}4$. 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 $\mathfrak{psu}(1,1|2)_1$ 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.

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