Solving AdS$_3$ string theory at minimal tension: tree-level correlators
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| Format: | Preprint |
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2023
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| _version_ | 1866929225936666624 |
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| author | Dei, Andrea Knighton, Bob Naderi, Kiarash |
| author_facet | Dei, Andrea Knighton, Bob Naderi, Kiarash |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_04622 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Solving AdS$_3$ string theory at minimal tension: tree-level correlators Dei, Andrea Knighton, Bob Naderi, Kiarash High Energy Physics - Theory 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. |
| title | Solving AdS$_3$ string theory at minimal tension: tree-level correlators |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.04622 |