Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations

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We describe how to calculate the Hagedorn temperature of N = 4 SYM theory and type IIB superstring theory on AdS(5) x S-5 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 lambda 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-beta and gamma(i) deformation) agrees with the one in N = 4 SYM theory at any value of lambda.

Original languageEnglish
Article number136
JournalJournal of High Energy Physics
Issue number7
Number of pages53
Publication statusPublished - 21 Jul 2022

    Research areas

  • 1/N Expansion, AdS-CFT Correspondence, Confinement, Integrable Field Theories, YANG-MILLS THEORY, MULTIPLE POLYLOGARITHMS, N=4, TRANSITION, DUALITY

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