Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography
Abstract We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2021)229 |
| _version_ | 1818738658204712960 |
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| author | Casey Cartwright Benjamin Harms Matthias Kaminski |
| author_facet | Casey Cartwright Benjamin Harms Matthias Kaminski |
| author_sort | Casey Cartwright |
| collection | DOAJ |
| description | Abstract We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted. |
| first_indexed | 2024-12-18T01:12:26Z |
| format | Article |
| id | doaj.art-5cdabf76cdf845778beaf0a3828249f5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T01:12:26Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5cdabf76cdf845778beaf0a3828249f52022-12-21T21:26:04ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021315110.1007/JHEP03(2021)229Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holographyCasey Cartwright0Benjamin Harms1Matthias Kaminski2Department of Physics and Astronomy, University of AlabamaDepartment of Physics and Astronomy, University of AlabamaDepartment of Physics and Astronomy, University of AlabamaAbstract We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.https://doi.org/10.1007/JHEP03(2021)229Holography and quark-gluon plasmasAdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT)Topological States of Matter |
| spellingShingle | Casey Cartwright Benjamin Harms Matthias Kaminski Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography Journal of High Energy Physics Holography and quark-gluon plasmas AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Topological States of Matter |
| title | Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography |
| title_full | Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography |
| title_fullStr | Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography |
| title_full_unstemmed | Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography |
| title_short | Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography |
| title_sort | topological or rotational non abelian gauge fields from einstein skyrme holography |
| topic | Holography and quark-gluon plasmas AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Topological States of Matter |
| url | https://doi.org/10.1007/JHEP03(2021)229 |
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