Two-dimensional fluids and their holographic duals
We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use Eddington–Finkelstein coordinates, and grant general curved two-dimensional...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319301786 |
| _version_ | 1819237402272595968 |
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| author | Andrea Campoleoni Luca Ciambelli Charles Marteau P. Marios Petropoulos Konstantinos Siampos |
| author_facet | Andrea Campoleoni Luca Ciambelli Charles Marteau P. Marios Petropoulos Konstantinos Siampos |
| author_sort | Andrea Campoleoni |
| collection | DOAJ |
| description | We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use Eddington–Finkelstein coordinates, and grant general curved two-dimensional geometries as hosts for hydrodynamics. This requires to handle the conformal anomaly, and the expressions obtained for the reconstructed bulk metrics incorporate non-conformal-fluid data. We also analyze the freedom of choosing arbitrarily the hydrodynamic frame for the description of relativistic fluids, and propose an invariant entropy current compatible with classical and extended irreversible thermodynamics. This local freedom breaks down in the dual gravitational picture, and fluid/gravity correspondence turns out to be sensitive to dissipation processes: the fluid heat current is a necessary ingredient for reconstructing all Bañados asymptotically anti-de Sitter solutions. The same feature emerges for Carrollian fluids, which enjoy a residual frame invariance, and their Barnich–Troessaert locally Minkowski duals. These statements are proven by computing the algebra of surface conserved charges in the fluid-reconstructed bulk three-dimensional spacetimes. |
| first_indexed | 2024-12-23T13:19:45Z |
| format | Article |
| id | doaj.art-4bc6eb90584c4957ac9709af1b0bc8cf |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-23T13:19:45Z |
| publishDate | 2019-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4bc6eb90584c4957ac9709af1b0bc8cf2022-12-21T17:45:30ZengElsevierNuclear Physics B0550-32132019-09-01946Two-dimensional fluids and their holographic dualsAndrea Campoleoni0Luca Ciambelli1Charles Marteau2P. Marios Petropoulos3Konstantinos Siampos4Service de Physique de l'Univers, Champs et Gravitation, Université de Mons – UMONS, Place du Parc, 20, 7000 Mons, Belgique; Institut für Theoretische Physik, ETH Zürich, Wolfgang-Pauli-Strasse 27, 8093 Zürich, SwitzerlandCPHT – Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, Université Paris–Saclay, 91128 Palaiseau Cedex, FranceCPHT – Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, Université Paris–Saclay, 91128 Palaiseau Cedex, FranceCPHT – Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, Université Paris–Saclay, 91128 Palaiseau Cedex, FranceTheoretical Physics Department, CERN, 1211 Geneva 23, Switzerland; Corresponding author.We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use Eddington–Finkelstein coordinates, and grant general curved two-dimensional geometries as hosts for hydrodynamics. This requires to handle the conformal anomaly, and the expressions obtained for the reconstructed bulk metrics incorporate non-conformal-fluid data. We also analyze the freedom of choosing arbitrarily the hydrodynamic frame for the description of relativistic fluids, and propose an invariant entropy current compatible with classical and extended irreversible thermodynamics. This local freedom breaks down in the dual gravitational picture, and fluid/gravity correspondence turns out to be sensitive to dissipation processes: the fluid heat current is a necessary ingredient for reconstructing all Bañados asymptotically anti-de Sitter solutions. The same feature emerges for Carrollian fluids, which enjoy a residual frame invariance, and their Barnich–Troessaert locally Minkowski duals. These statements are proven by computing the algebra of surface conserved charges in the fluid-reconstructed bulk three-dimensional spacetimes.http://www.sciencedirect.com/science/article/pii/S0550321319301786 |
| spellingShingle | Andrea Campoleoni Luca Ciambelli Charles Marteau P. Marios Petropoulos Konstantinos Siampos Two-dimensional fluids and their holographic duals Nuclear Physics B |
| title | Two-dimensional fluids and their holographic duals |
| title_full | Two-dimensional fluids and their holographic duals |
| title_fullStr | Two-dimensional fluids and their holographic duals |
| title_full_unstemmed | Two-dimensional fluids and their holographic duals |
| title_short | Two-dimensional fluids and their holographic duals |
| title_sort | two dimensional fluids and their holographic duals |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319301786 |
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