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arXiv · 1706.03074

The Hagedorn temperature of AdS5/CFT4 via integrability

Troels Harmark·Matthias Wilhelm
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Abstract

We establish a framework for calculating the Hagedorn temperature of AdS5/CFT4 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 temperature. Finally, we comment on solving the equations at finite coupling.

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Troels Harmark, Matthias Wilhelm. 2017-06-09. The Hagedorn temperature of AdS5/CFT4 via integrability. https://doi.org/10.1103/physrevlett.120.071605

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