Schrodinger Holography for z<2

Abstract

We investigate holography for asymptotically Schrodinger spacetimes, using a frame formalism. Our dictionary is based on the anisotropic scaling symmetry. We consider z <2, where the holographic dictionary is cleaner; we make some comments on z=2. We propose a definition of asymptotically locally Schrodinger spacetime where the leading components of the frame fields provide suitable geometric boundary data. We show that an asymptotic expansion exists for generic boundary data satisfying our boundary conditions for z<2.

34 pages, no figures. v2: corrected typos, improved explanation on some technical points, to be published in CQG

References in corpus (22)

• Gravity Duals of Lifshitz-like Fixed Points
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Nonrelativistic conformal field theories
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Holographic stress tensor for non-relativistic theories
• AdS/CFT correspondence and Geometry
• Holography for Schrodinger backgrounds
• Holographic renormalization as a canonical transformation
• Holography for asymptotically locally Lifshitz spacetimes
• Lifshitz holography: The whole shebang
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Holographic Renormalization for Asymptotically Lifshitz Spacetimes
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
• Holography for chiral scale-invariant models
• Generalized dilatation operator method for non-relativistic holography
• Boundary conditions for metric fluctuations in Lifshitz
• Lifshitz from AdS at finite temperature and top down models
• Particle Number and 3D Schroedinger Holography
• Correlation functions for Schrödinger backgrounds
• Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model

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• On the reconstruction of Lifshitz spacetimes
• Existence and Construction of Galilean invariant $z\ne 2$ Theories
• On Newton-Cartan trace anomalies
• Schrödinger Holography with $z=2$
• Ground State Instability in Non-relativistic QFT and Euler-Heisenberg Lagrangian via Holography