Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence
Abstract The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono2 (qBO2) hiera...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2021)276 |
| _version_ | 1818906842276823040 |
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| author | Fábio Novaes |
| author_facet | Fábio Novaes |
| author_sort | Fábio Novaes |
| collection | DOAJ |
| description | Abstract The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono2 (qBO2) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO2 charges is attainable in the strict large c limit and potentially violated at the subleading 1/c order. We also obtain the finite c partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems. |
| first_indexed | 2024-12-19T21:45:39Z |
| format | Article |
| id | doaj.art-112342cb923948ed97e3711a263ab3f1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T21:45:39Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-112342cb923948ed97e3711a263ab3f12022-12-21T20:04:33ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021514610.1007/JHEP05(2021)276Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondenceFábio Novaes0Centro de Estudios CientíficosAbstract The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono2 (qBO2) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO2 charges is attainable in the strict large c limit and potentially violated at the subleading 1/c order. We also obtain the finite c partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems.https://doi.org/10.1007/JHEP05(2021)276Conformal Field TheoryIntegrable HierarchiesConformal and W Symmetry |
| spellingShingle | Fábio Novaes Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence Journal of High Energy Physics Conformal Field Theory Integrable Hierarchies Conformal and W Symmetry |
| title | Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence |
| title_full | Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence |
| title_fullStr | Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence |
| title_full_unstemmed | Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence |
| title_short | Generalized Gibbs Ensemble of 2D CFTs with U(1) charge from the AGT correspondence |
| title_sort | generalized gibbs ensemble of 2d cfts with u 1 charge from the agt correspondence |
| topic | Conformal Field Theory Integrable Hierarchies Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP05(2021)276 |
| work_keys_str_mv | AT fabionovaes generalizedgibbsensembleof2dcftswithu1chargefromtheagtcorrespondence |