The ABJM Hagedorn Temperature from Integrability
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13130_2023_Article_21951.pdf
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Author(s)
Ekhammar, Simon
Minahan, Joseph A.
Thull, Charles
Date Issued
October 11, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 Oct 11;2023(10):66
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP10(2023)066
