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The ABJM Hagedorn Temperature from Integrability

Ekhammar, S., Minahan, J. A. ORCID: 0000-0003-2577-5198 & Thull, C. ORCID: 0000-0002-4327-3223 (2023). The ABJM Hagedorn Temperature from Integrability. Journal of High Energy Physics, 2023(10), article number 66. doi: 10.1007/jhep10(2023)066

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.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords: Integrable Field Theories, AdS-CFT Correspondence, Chern-Simons Theories
Subjects: Q Science > QC Physics
Departments: School of Science & Technology
School of Science & Technology > Mathematics
SWORD Depositor:
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