2009/05/31 by Hirosi Ooguri, Chang-Soon Park · 36 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bounded function #Cosmology and Gravitation Theories #Geometry #Isometry (Riemannian geometry) #M-theory #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2009.08.021
published in Nuclear Physics B 824(1-2), 136-153 (Elsevier BV) · 25 parges; v2: references added
arxiv created 2009/06/07 · openalex publication_date 2009/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct M-theory supergravity solutions with the non-relativistic Schrödinger symmetry starting from the warped AdS5 metric with N=1 supersymmetry. We impose the condition that the lightlike direction is compact by making it a non-trivial U(1) bundle over the compact space. Sufficient conditions for such solutions are analyzed. The solutions have two supercharges for generic values of parameters, but the number of supercharges increases to six in some special cases. A Schrödinger geometry with SU(2)×SU(2)×U(1) isometry is considered as a specific example. We consider the Kaluza–Klein modes and show that the non-relativistic particle number is bounded above by the quantum numbers of the compact space.