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.

25 parges; v2: references added

References in corpus (12)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• The geometry of Schrödinger symmetry in non-relativistic CFT
• A Massive Study of M2-brane Proposals
• On the spectrum of nonrelativistic AdS/CFT
• Families of IIB duals for nonrelativistic CFTs
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• NR $CF{T}_3$ duals in M-theory
• Nonrelativistic Superconformal M2-Brane Theory

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• The particle number in Galilean holography
• Non-relativistic metrics with extremal limits
• Holography of mass-deformed M2-branes
• Observables and Correlators in Nonrelativistic ABJM Theory
• Geometry and Phase Structure of Non-Relativistic Branes
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring