Holographic geometry for non-relativistic systems emerging from generalized flow equations

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.

arXiv comment32 pages, no figure, v2: the definition of the metric operator changed, typos fixed, comments and references added, published version

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Cited by in corpus (8)

• Results and techniques for higher order calculations within the gradient-flow formalism
• What does a quantum black hole look like?
• Non-relativistic Hybrid Geometry with Gravitational Gauge-Fixing Term
• Anisotropic Schrödinger black holes with hyperscaling-violation
• Holographic de Sitter Spacetime and Quantum Corrections to The Cosmological Constant
• Perturbative analysis of the Wess-Zumino flow
• AdS/CFT correspondence for the $O(N)$ invariant critical ${\phi }^4$ model in 3-dimensions by the conformal smearing
• Gradient-flowed order parameter for spontaneous gauge symmetry breaking