The Hagedorn temperature of AdS5/CFT4 via integrability

OKC/Nordita High-Energy Physics Theory seminar

Friday 27 October 2017
from 13:15
to 14:15 at
132:028 (Nordita East)

Speaker :

Matthias Wilhelm (NBI, Copenhagen)

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.