Complexity geometry and Schwarzian dynamics
Abstract A celebrated feature of SYK-like models is that at low energies, their dynamics reduces to that of a single variable. In many setups, this “Schwarzian” variable can be interpreted as the extremal volume of the dual black hole, and the resulting dynamics is simply that of a 1D Newtonian part...
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| Format: | Article |
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)087 |
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| author | Henry W. Lin Leonard Susskind |
| author_facet | Henry W. Lin Leonard Susskind |
| author_sort | Henry W. Lin |
| collection | DOAJ |
| description | Abstract A celebrated feature of SYK-like models is that at low energies, their dynamics reduces to that of a single variable. In many setups, this “Schwarzian” variable can be interpreted as the extremal volume of the dual black hole, and the resulting dynamics is simply that of a 1D Newtonian particle in an exponential potential. On the complexity side, geodesics on a simplified version of Nielsen’s complexity geometry also behave like a 1D particle in a potential given by the angular momentum barrier. The agreement between the effective actions of volume and complexity succinctly summarizes various strands of evidence that complexity is closely related to the dynamics of black holes. |
| format | Article |
| id | doaj-art-a11370012fda431dac792b97e36e776b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a11370012fda431dac792b97e36e776b2025-01-26T12:11:40ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111910.1007/JHEP01(2020)087Complexity geometry and Schwarzian dynamicsHenry W. Lin0Leonard Susskind1Jadwin Hall, Princeton UniversityStanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityAbstract A celebrated feature of SYK-like models is that at low energies, their dynamics reduces to that of a single variable. In many setups, this “Schwarzian” variable can be interpreted as the extremal volume of the dual black hole, and the resulting dynamics is simply that of a 1D Newtonian particle in an exponential potential. On the complexity side, geodesics on a simplified version of Nielsen’s complexity geometry also behave like a 1D particle in a potential given by the angular momentum barrier. The agreement between the effective actions of volume and complexity succinctly summarizes various strands of evidence that complexity is closely related to the dynamics of black holes.https://doi.org/10.1007/JHEP01(2020)0872D GravityAdS-CFT Correspondence |
| spellingShingle | Henry W. Lin Leonard Susskind Complexity geometry and Schwarzian dynamics Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence |
| title | Complexity geometry and Schwarzian dynamics |
| title_full | Complexity geometry and Schwarzian dynamics |
| title_fullStr | Complexity geometry and Schwarzian dynamics |
| title_full_unstemmed | Complexity geometry and Schwarzian dynamics |
| title_short | Complexity geometry and Schwarzian dynamics |
| title_sort | complexity geometry and schwarzian dynamics |
| topic | 2D Gravity AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)087 |
| work_keys_str_mv | AT henrywlin complexitygeometryandschwarziandynamics AT leonardsusskind complexitygeometryandschwarziandynamics |