# Hagedorn Temperature of AdS_{5}/CFT_{4} via Integrability.

@article{Harmark2018HagedornTO,
title={Hagedorn Temperature of AdS\_\{5\}/CFT\_\{4\} via Integrability.},
author={Troels Harmark and Matthias Wilhelm},
journal={Physical review letters},
year={2018},
volume={120 7},
pages={
071605
}
}
• Published 9 June 2017
• Mathematics
• Physical review letters
We establish a framework for calculating the Hagedorn temperature of AdS_{5}/CFT_{4} via integrability. Concretely, we derive the thermodynamic Bethe ansatz equations that yield the Hagedorn temperature of planar N=4 super Yang-Mills theory at any value of the 't Hooft coupling. We solve these equations perturbatively at weak coupling via the associated Y system, confirming the known results at tree level and one-loop order as well as deriving the previously unknown two-loop Hagedorn…
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