Supersymmetric non-relativistic geometries in M-theory

Abstract

We construct M-theory supergravity solutions with the non-relativistic Schrodinger symmetry starting from the warped AdS_5 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 Schrodinger geometry with SU(2)xSU(2)xU(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.

arXiv comment25 parges; v2: references added

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Cited by in corpus (28)

• Lifshitz Solutions of D=10 and D=11 supergravity
• Non-Relativistic Solutions of N=2 Gauged Supergravity
• Schrödinger geometries arising from Yang-Baxter deformations
• Supersymmetric vacua of mass-deformed M2-brane theory
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• Intertwining Operator Realization of Non-Relativistic Holography
• Schrodinger invariant solutions of type IIB with enhanced supersymmetry
• The particle number in Galilean holography
• Non-relativistic metrics with extremal limits
• Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
• Holography of mass-deformed M2-branes
• Asymptotic symmetries of Schrödinger spacetimes
• Universality and exactness of Schrodinger geometries in string and M-theory
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• Observables and Correlators in Nonrelativistic ABJM Theory
• SUSY properties of warped AdS${}_3$
• Lifshitz-like systems and AdS null deformations
• Universal time-dependent deformations of Schrodinger geometry
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• The Godel-Schrodinger Spacetime and Stringy Chronology Protection
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring
• Flows to Schrodinger Geometries
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory
• Emergent Schrodinger geometries from mass-deformed CFT