2012/06/27 by Balt C. van Rees, van Rees, Balt C. · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Exact solutions in general relativity #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holography #Mathematical physics #Mathematics #Momentum (technical analysis) #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Renormalization #Schrödinger's cat #Stress–energy tensor #TRACE (psycholinguistics) #Tensor (intrinsic definition) #Theoretical physics #Wave function #hep-th
paper · pdf · doi:10.48550/arxiv.1206.6507
published in arXiv (Cornell University) (Cornell University) · 42 pages
arxiv created 2012/06/27 · openalex publication_date 2012/06/27 · arxiv updated 2012/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We work out the holographic dictionary for the three-dimensional Schrödinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out to be surprisingly subtle. We discuss in detail the holographic renormalization procedure at the linearized level and holographically compute the two-point functions of the energy-momentum tensor and an irrelevant vector operator. We discuss the appearance of multi-trace counterterms, parametrize the scheme dependence in our results, identify the non-relativistic Ward identities and compare them with expectations in the literature. Our results lead to valuable general insights regarding holography for spacetimes that are not of an asymptotically AdS form.