Diving inside holographic metals
Abstract We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an...
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| Format: | Article |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)072 |
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| author | Javier Carballo Ayan K. Patra Juan F. Pedraza |
| author_facet | Javier Carballo Ayan K. Patra Juan F. Pedraza |
| author_sort | Javier Carballo |
| collection | DOAJ |
| description | Abstract We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an electron cloud, undergo a holographic renormalization group flow. The inner (Cauchy) horizon is destroyed and the near-singularity metric instead adopts the form of a positive-p t Kasner cosmology, signaling the collapse of the Einstein-Rosen bridge. Previous studies have suggested that this collapse hinders direct probing of the singularity. Nonetheless, we propose and compute several CFT observables that characterize the interior and near-singularity geometries. These include the thermal a-function, which decays with a specific power of p t as nearly all CFT degrees of freedom are integrated out, and two-point correlators for neutral and charged operators, with the latter directly probing the singularity despite the positive-p t . We also calculate characteristic velocities related to entanglement and complexity growth in the time-evolved thermofield double state, as well as the butterfly effect indicative of operator spreading. Notably, the deformed electron cloud features a Lifshitz IR fixed point and an additional Kasner trans-IR fixed point, absent in neutral RG flows. |
| format | Article |
| id | doaj-art-4ea3fd0f692248d5aa97925045d44e1c |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4ea3fd0f692248d5aa97925045d44e1c2025-08-20T03:10:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513510.1007/JHEP05(2025)072Diving inside holographic metalsJavier Carballo0Ayan K. Patra1Juan F. Pedraza2Mathematical Sciences and STAG Research Centre, University of SouthamptonInstituto de Física Teórica UAM/CSICInstituto de Física Teórica UAM/CSICAbstract We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an electron cloud, undergo a holographic renormalization group flow. The inner (Cauchy) horizon is destroyed and the near-singularity metric instead adopts the form of a positive-p t Kasner cosmology, signaling the collapse of the Einstein-Rosen bridge. Previous studies have suggested that this collapse hinders direct probing of the singularity. Nonetheless, we propose and compute several CFT observables that characterize the interior and near-singularity geometries. These include the thermal a-function, which decays with a specific power of p t as nearly all CFT degrees of freedom are integrated out, and two-point correlators for neutral and charged operators, with the latter directly probing the singularity despite the positive-p t . We also calculate characteristic velocities related to entanglement and complexity growth in the time-evolved thermofield double state, as well as the butterfly effect indicative of operator spreading. Notably, the deformed electron cloud features a Lifshitz IR fixed point and an additional Kasner trans-IR fixed point, absent in neutral RG flows.https://doi.org/10.1007/JHEP05(2025)072AdS-CFT CorrespondenceBlack HolesBlack Holes in String TheoryHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Javier Carballo Ayan K. Patra Juan F. Pedraza Diving inside holographic metals Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory Holography and Condensed Matter Physics (AdS/CMT) |
| title | Diving inside holographic metals |
| title_full | Diving inside holographic metals |
| title_fullStr | Diving inside holographic metals |
| title_full_unstemmed | Diving inside holographic metals |
| title_short | Diving inside holographic metals |
| title_sort | diving inside holographic metals |
| topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP05(2025)072 |
| work_keys_str_mv | AT javiercarballo divinginsideholographicmetals AT ayankpatra divinginsideholographicmetals AT juanfpedraza divinginsideholographicmetals |