The Hagedorn temperature of AdS5/CFT4 via integrability
High Energy Physics - Theory
2018-03-19 v3
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.
Keywords
Cite
@article{arxiv.1706.03074,
title = {The Hagedorn temperature of AdS5/CFT4 via integrability},
author = {Troels Harmark and Matthias Wilhelm},
journal= {arXiv preprint arXiv:1706.03074},
year = {2018}
}
Comments
6 pages; v3: references and further clarification added, matches journal version