On the spectrum of nonrelativistic AdS/CFT
arXiv:0806.3244 · doi:10.1088/1126-6708/2008/09/030
Abstract
We develop a Hamiltonian picture for a family of models of nonrelativistic AdS/CFT duality. The Schrodinger group is realized via the conformal quantum mechanics of De Alfaro, Fubini and Furlan in the holographic direction. We show that most physical requirements, including the introduction of harmonic traps, can be realized with exact AdS metrics, but without any need for exotic matter sectors in the bulk dynamics. This Hamiltonian picture can be used to compare directly with many-body spectra of fermions at unitarity on harmonic traps, thereby providing a direct physical interpretation of the holographic radial coordinate for these systems. Finally, we add some speculations on the dynamical generation of mass gaps in the AdS description, the resulting quasiparticle spectra, and the analog of `deconfining' phase transitions that may occur.
20 pages and 1 figure; typos corrected, references added; references added, minor changes matching published version
References in corpus (7)
- Theory of ultracold Fermi gases
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Nonrelativistic conformal field theories
- Large-N expansion for unitary superfluid Fermi gases
- On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
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