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

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Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve : chemical potentials and deformations. / Harmark, Troels; Wilhelm, Matthias.

In: Journal of High Energy Physics, Vol. 2022, No. 7, 136, 21.07.2022.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Harmark, T & Wilhelm, M 2022, 'Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations', Journal of High Energy Physics, vol. 2022, no. 7, 136. https://doi.org/10.1007/JHEP07(2022)136

APA

Harmark, T., & Wilhelm, M. (2022). Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations. Journal of High Energy Physics, 2022(7), [136]. https://doi.org/10.1007/JHEP07(2022)136

Vancouver

Harmark T, Wilhelm M. Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations. Journal of High Energy Physics. 2022 Jul 21;2022(7). 136. https://doi.org/10.1007/JHEP07(2022)136

Author

Harmark, Troels ; Wilhelm, Matthias. / Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve : chemical potentials and deformations. In: Journal of High Energy Physics. 2022 ; Vol. 2022, No. 7.

Bibtex

@article{8e64d7c1b9f2404ca6de45fcfd18d420,
title = "Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations",
abstract = "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.",
keywords = "1/N Expansion, AdS-CFT Correspondence, Confinement, Integrable Field Theories, YANG-MILLS THEORY, MULTIPLE POLYLOGARITHMS, N=4, TRANSITION, DUALITY",
author = "Troels Harmark and Matthias Wilhelm",
year = "2022",
month = jul,
day = "21",
doi = "10.1007/JHEP07(2022)136",
language = "English",
volume = "2022",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "7",

}

RIS

TY - JOUR

T1 - Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve

T2 - chemical potentials and deformations

AU - Harmark, Troels

AU - Wilhelm, Matthias

PY - 2022/7/21

Y1 - 2022/7/21

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Confinement

KW - Integrable Field Theories

KW - YANG-MILLS THEORY

KW - MULTIPLE POLYLOGARITHMS

KW - N=4

KW - TRANSITION

KW - DUALITY

U2 - 10.1007/JHEP07(2022)136

DO - 10.1007/JHEP07(2022)136

M3 - Journal article

VL - 2022

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 7

M1 - 136

ER -

ID: 315254401