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 $$ \mathcal{N} $$ = 4 SYM theory and type IIB superstring theory on AdS 5 × 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2022)136 |
| _version_ | 1817968794765623296 |
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| author | Troels Harmark Matthias Wilhelm |
| author_facet | Troels Harmark Matthias Wilhelm |
| author_sort | Troels Harmark |
| collection | DOAJ |
| description | Abstract We describe how to calculate the Hagedorn temperature of N $$ \mathcal{N} $$ = 4 SYM theory and type IIB superstring theory on AdS 5 × 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 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 $$ \mathcal{N} $$ = 4 SYM theory (real-β and γ i deformation) agrees with the one in N $$ \mathcal{N} $$ = 4 SYM theory at any value of λ. |
| first_indexed | 2024-04-13T20:13:34Z |
| format | Article |
| id | doaj.art-3a441a42e29f448b9e292aef0a601a67 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T20:13:34Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3a441a42e29f448b9e292aef0a601a672022-12-22T02:31:46ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022715310.1007/JHEP07(2022)136Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformationsTroels Harmark0Matthias Wilhelm1Niels Bohr Institute, Copenhagen UniversityNiels Bohr Institute, Copenhagen UniversityAbstract We describe how to calculate the Hagedorn temperature of N $$ \mathcal{N} $$ = 4 SYM theory and type IIB superstring theory on AdS 5 × 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 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 $$ \mathcal{N} $$ = 4 SYM theory (real-β and γ i deformation) agrees with the one in N $$ \mathcal{N} $$ = 4 SYM theory at any value of λ.https://doi.org/10.1007/JHEP07(2022)1361/N ExpansionAdS-CFT CorrespondenceConfinementIntegrable Field Theories |
| spellingShingle | Troels Harmark Matthias Wilhelm Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Confinement Integrable Field Theories |
| title | Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations |
| title_full | Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations |
| title_fullStr | Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations |
| title_full_unstemmed | Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations |
| title_short | Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations |
| title_sort | solving the hagedorn temperature of ads5 cft4 via the quantum spectral curve chemical potentials and deformations |
| topic | 1/N Expansion AdS-CFT Correspondence Confinement Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP07(2022)136 |
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