2012/11/20 by Stefan Janiszewski, Andreas Karch · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Duality (order theory) #Geometry #Gravitation #Holography #Homogeneous space #Hořava–Lifshitz gravity #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum dynamics #Quantum field theory #Quantum gravity #Quantum mechanics #Theoretical physics #cond-mat.mes-hall #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep02(2013)123
35 pages; version 2 contains updated references and fixed typos
arxiv created 2012/11/20 · openalex publication_date 2013/02/01 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many non-relativistic Quantum Field Theories with conserved particle number share a common set of symmetries: time dependent spatial diffeomorphisms acting on the background metric and U(1) invariance acting on the background fields which couple to particle number. Here we use these symmetries to deduce a gravity dual for any such theory in terms of a non-relativistic theory of gravity, a variant of Horava gravity. This duality allows the extension of holography to generic non-relativistic field theories. As Horava gravity is presumed to be a consistent quantum theory, this duality also allows holography to move beyond the limit of a large number of colors, in principle. In the case when the field theory is conformally invariant, we prove that our proposal reproduces the form of the two point function demanded by this symmetry.