# Integrability in Gauge and String Theory 2018 IGST 2018

20-24 August 2018
Copenhagen University
Europe/Copenhagen timezone

## The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve

23 Aug 2018, 15:15
45m

Matthias Wilhelm

### Description

We establish a framework for calculating the Hagedorn temperature of AdS$_5$/CFT$_4$ via integrability. Concretely, we derive Quantum Spectral Curve 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 equation perturbatively at weak coupling and numerically at finite coupling. Finally, we comment on extending these result to integrable deformations of N=4 SYM theory and on the inclusion of chemical potentials.