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2019-07-11 - Article/Dans un journal avec peer-review - Anglais - 34 page(s)

Campoleoni Andrea , Ciambelli Luca, Marteau Charles, Petropoulos P. Marios, Siampos Konstantinos, "Two-dimensional fluids and their holographic duals" in Nuclear Physics B, 946, 114692

  • Edition : Elsevier (Netherlands)
  • Codes CREF : Physique théorique et mathématique (DI1210)
  • Unités de recherche UMONS : Physique de l'Univers, Champs et Gravitation (S827)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) 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.

Identifiants :
  • DOI : 10.1016/j.nuclphysb.2019.114692
  • arXiv : 1812.04019 [hep-th]