Holographic geometry for non-relativistic systems emerging from generalized flow equations
arXiv:1902.02578 · doi:10.1103/PhysRevD.99.126002
Abstract
An intriguing result presented by two of the present authors is that an anti de Sitter space can be derived from a conformal field theory by considering a flow equation. A natural expectation is that given a certain data on the boundary system, the associated geometry would be able to emerge from a flow, even beyond the conformal case. As a step along this line, we examine this scenario for non-relativistic systems with anisotropic scaling symmetries, such as Lifshitz field theories and Schrödinger invariant theories. In consequence we obtain a new hybrid geometry of Lifshitz and Schrödinger spacetimes as a general holographic geometry in this framework. We confirm that this geometry reduces to each of them by considering special non-relativistic models.
32 pages, no figure, v2: the definition of the metric operator changed, typos fixed, comments and references added, published version
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