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.
I: Journal of High Energy Physics, Bind 2022, Nr. 7, 136, 21.07.2022.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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