Lifshitz Space-Times for Schroedinger Holography

Abstract

We show that asymptotically locally Lifshitz space-times are holographically dual to field theories that exhibit Schroedinger invariance. This involves a complete identification of the sources, which describe torsional Newton-Cartan geometry on the boundary and transform under the Schroedinger algebra. We furthermore identify the dual vevs from which we define and construct the boundary energy-momentum tensor and mass current and show that these obey Ward identities that are organized by the Schroedinger algebra. We also point out that even though the energy flux has scaling dimension larger than z+2, it can be expressed in terms of computable vev/source pairs.

16 pages, clarifications added, typos fixed, refs updated

References in corpus (20)

• Quantum Gravity at a Lifshitz Point
• Nonlinear Fluid Dynamics from Gravity
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Non-relativistic holography
• Newtonian Gravity and the Bargmann Algebra
• Spacetime Symmetries of the Quantum Hall Effect
• Holographic stress tensor for non-relativistic theories
• Lifshitz Gravity for Lifshitz Holography
• Thermal Hall Effect and Geometry with Torsion
• Holography for Schrodinger backgrounds
• Quantum critical lines in holographic phases with (un)broken symmetry
• Lifshitz holography: The whole shebang
• Conductivities for Hyperscaling Violating Geometries
• General coordinate invariance in quantum many-body systems
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Generalized dilatation operator method for non-relativistic holography
• Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics
• Schrodinger Holography for z<2

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• Torsional Newton-Cartan Geometry from the Noether Procedure
• Intermediate scalings in holographic RG flows and conductivities
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• Non-Relativistic M2-Brane
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
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• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Three-dimensional non-relativistic supergravity and torsion
• Supersymmetric Warped Conformal Field Theory
• Covariant Poisson's equation in torsional Newton-Cartan gravity
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• Symmetries and Couplings of Non-Relativistic Electrodynamics
• Schrödinger Holography with $z=2$
• Towards a Gravity Dual for the Large Scale Structure of the Universe
• Generalised Bargmann Superalgebras
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes
• Hyperscaling violating Lifshitz holography
• Developments in non-relativistic field theory and complexity