Abstract
We use the quantum spectral curve to compute the Hagedorn temperature for ABJM theory in terms of the interpolating function h(λ). At weak coupling we compute this temperature up to eight-loop order, showing that it matches the known tree-level and two-loop results. At strong coupling we compute the dependence numerically, showing that it is consistent with expectations from supergravity and the plane-wave limit for the four leading terms in the strong coupling expansion, up to an overall shift of the zero-point energy for type IIA string theory on AdS4 × ℂP3. We conjecture an analytic form for this shift to leading order that is consistent with our numerical results.
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Acknowledgments
We thank Martijn Hidding for help with the numerical evaluation of polylogarithms. We also thank N. Bobev, N. Gromov, R. Tateo, G. Papathanasiou and M. Spradlin for discussions. This research is supported in part by the Swedish Research Council under grant #2020-03339 and by the National Science Foundation under Grant No. NSF PHY-1748958. Computations were done on a cluster provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS) at UPPMAX, partially funded by the Swedish Research Council under grant #2022-06725. S.E was partially supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 865075) EXACTC. J.A.M. thanks the KITP for hospitality during the beginning of this work.
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Ekhammar, S., Minahan, J.A. & Thull, C. The ABJM Hagedorn Temperature from Integrability. J. High Energ. Phys. 2023, 66 (2023). https://doi.org/10.1007/JHEP10(2023)066
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DOI: https://doi.org/10.1007/JHEP10(2023)066