Abstract
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 \( \mathfrak{psu} \)(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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Acknowledgments
We thank Soumangsu Chakraborty, Cassiano Daniel, Lorenz Eberhardt, Matthias Gaberdiel, Francesco Galvagno, Jeffrey Harvey, Shota Komatsu, Emil Martinec, Edward Mazenc, Nathan McStay, Beat Nairz, Ron Reid-Edwards, Savdeep Sethi, Vit Sriprachyakul, and Jacob Vošmera for useful discussions. We thank Lorenz Eberhardt, Matthias Gaberdiel, Nathan McStay, and Ron Reid-Edwards for helpful comments on a draft of this paper. We also thank the organizers of the CERN workshop ‘Precision Holography’, where many of these ideas were refined. A.D. acknowledges support from the Mafalda & Reinhard Oehme Fellowship. The work of BK and KN was supported by the Swiss National Science Foundation through a personal grant and via the NCCR SwissMAP. The work of BK was in addition supported by STFC consolidated grants ST/T000694/1 and ST/X000664/1.
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Dei, A., Knighton, B. & Naderi, K. Solving AdS3 string theory at minimal tension: tree-level correlators. J. High Energ. Phys. 2024, 135 (2024). https://doi.org/10.1007/JHEP09(2024)135
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DOI: https://doi.org/10.1007/JHEP09(2024)135