Towards a gravity dual of the unitary Fermi gas

Abstract

Inspired by the method of null dimensional reduction and by the holographic correspondence between Vasiliev's higher-spin gravity and the critical O(N) model, a bulk dual of the unitary and the ideal non-relativistic Fermi gases is proposed.

5 pages; references and comments added, version accepted for publication in Phys.Rev.D

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Nonrelativistic conformal field theories
• The geometry of Schrödinger symmetry in non-relativistic CFT
• Effective action in a higher-spin background
• On the spectrum of nonrelativistic AdS/CFT
• Large-N expansion for unitary superfluid Fermi gases
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• Symmetries and currents of the ideal and unitary Fermi gases

Cited by in corpus (20)

• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• The $O(N)$ Model in $4<d<6$: Instantons and Complex CFTs
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• TASI Lectures on the Higher Spin - CFT duality
• Comments on higher-spin holography
• Finite-temperature equation of state of polarized fermions at unitarity
• The Exact Renormalization Group and Higher-spin Holography
• Embedding nonrelativistic physics inside a gravitational wave
• Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
• String-Theory-Based Predictions for Nonhydrodynamic Collective Modes in Strongly Interacting Fermi Gases
• Critical solutions in topologically gauged N=8 CFTs in three dimensions
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
• Critical scaling in the large-$N$ $O(N)$ model in higher dimensions and its possible connection to quantum gravity
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• Operator spectrum of nonrelativistic CFTs at large charge
• Viscosity spectral function of a scale invariant non-relativistic fluid from holography
• Higher spin holography with Galilean symmetry in general dimensions
• Strongly Interacting Fermi Gases: Hydrodynamics and Beyond
• Convexity, large charge and the large-N phase diagram of the ${\phi }^4$ theory