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arXiv · 2312.04622

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

Andrea Dei·Bob Knighton·Kiarash Naderi
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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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Andrea Dei, Bob Knighton, Kiarash Naderi. 2023-12-07. Solving AdS$_3$ string theory at minimal tension: tree-level correlators. https://arxiv.org/abs/2312.04622

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