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- Title
Solving the Hagedorn temperature of AdS<sub>5</sub>/CFT<sub>4</sub> via the Quantum Spectral Curve: chemical potentials and deformations.
- Authors
Harmark, Troels; Wilhelm, Matthias
- Abstract
We describe how to calculate the Hagedorn temperature of N = 4 SYM theory and type IIB superstring theory on AdS5 × S5 via the Quantum Spectral Curve (QSC) — providing further details on our previous letters [1] and [2]. We solve the QSC equations perturbatively at weak 't Hooft coupling λ up to seven-loop order and numerically at finite coupling, finding that the perturbative results can be expressed in terms of single-valued harmonic polylogarithms. Moreover, we generalize the QSC to describe the Hagedorn temperature in the presence of chemical potentials. Finally, we show that the Hagedorn temperature in certain deformations of N = 4 SYM theory (real-β and γi deformation) agrees with the one in N = 4 SYM theory at any value of λ.
- Subjects
DEFORMATION potential; CHEMICAL potential; SUPERSTRING theories; TEMPERATURE
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 7, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP07(2022)136