Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry

Abstract

We find the most general solution of 11-dimensional supergravity compatible with N=2 super-Schrodinger symmetry with six supercharges and SU(2) x SU(2) x U(1) x Z_2 global symmetry. It can be viewed as a one-parameter extension of a recently constructed solution by Ooguri and Park. Our original motivation was to find the gravity dual of the non-relativistic ABJM theory. But, our analysis shows that no such solution exists within the reach of our assumptions. We discuss possible reasons for the non-existence of the desired solution. We also uplift a super-Schrodinger solution in IIB supergravity of Donos and Gauntlett to 11-dimension and comment on its properties.

37 pages; v2. references added, minor improvements

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• Gravity duals for non-relativistic CFTs
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• Nonrelativistic Superconformal M2-Brane Theory
• Solutions of type IIB and D=11 supergravity with Schrodinger(z) symmetry
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Schrodinger invariant solutions of type IIB with enhanced supersymmetry
• Remark on quantum mechanics with N=2 Schrodinger supersymmetry
• Supersymmetric non-relativistic geometries in M-theory
• Observables and Correlators in Nonrelativistic ABJM Theory

Cited by in corpus (22)

• Lifshitz Solutions of D=10 and D=11 supergravity
• Non-relativistic holography from Horava gravity
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• Non-Relativistic Solutions of N=2 Gauged Supergravity
• Schrödinger geometries arising from Yang-Baxter deformations
• Hyperscaling violation from supergravity
• Special limits and non-relativistic solutions
• 3D Supergravity from wrapped D3-branes
• The particle number in Galilean holography
• Universality and exactness of Schrodinger geometries in string and M-theory
• SUSY properties of warped AdS${}_3$
• Hyperscaling violation : a unified frame for effective holographic theories
• Universal time-dependent deformations of Schrodinger geometry
• Non-Abelian T-duality for nonrelativistic holographic duals
• Lifshitz to AdS flow with interpolating p-brane solutions
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Holographic flows to IR Lifshitz spacetimes
• Gravitational collapse in Hořava-Lifshitz theory
• Open String in Non-Relativistic Background
• Finite Temperature Aging Holography
• Flows to Schrodinger Geometries
• Emergent Schrodinger geometries from mass-deformed CFT