Abstract
The bound state of one NS5 brane (wrapped on a 𝕋4) and N NS1-branes has two dual descriptions: its low-energy dynamics is described by the symmetric orbifold of 𝕋4, while the near horizon geometry is captured by string theory on AdS3 × S3 × 𝕋4 with one unit of NS flux. The latter theory is exactly solvable in the hybrid formalism, and this allows one to prove the equivalence of the two descriptions. In this paper we extend this duality to ℤk orbifolds of this AdS3 × S3 background. In particular, we show that the corresponding worldsheet spectrum reproduces exactly the perturbative excitations on top of a certain non-perturbative state in the dual symmetric orbifold theory. Since the AdS/CFT duality map is exact for these models, we obtain an interesting picture of how the duality relates boundary and bulk descriptions.
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Acknowledgments
We thank Davide Bufalini, Nicolas Kovensky, Emil Martinec, and David Turton for useful discussions. MRG and SDM thank the Simons Center for Geometry and Physics for hospitality where this collaboration was begun. BG thanks the University of Bonn for hospitality where part of this work was done. MRG is supported in part by the Simons Foundation grant 994306 (Simons Collaboration on Confinement and QCD Strings). The work of his group at ETH is supported by a personal grant from the Swiss National Science Foundation, as well the NCCR SwissMAP that is also funded by the Swiss National Science Foundation. BG is supported in part by the ERC Grant 787320 - QBH Structure. SDM is supported in part by the DOE grant DE-SC0011726.
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Gaberdiel, M.R., Guo, B. & Mathur, S.D. Tensionless strings on AdS3 orbifolds. J. High Energ. Phys. 2024, 57 (2024). https://doi.org/10.1007/JHEP04(2024)057
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DOI: https://doi.org/10.1007/JHEP04(2024)057