Gyrating Schrodinger Geometries and Non-Relativistic Field Theories

Abstract

We propose homogeneous metrics of Petrov type III that describe gyrating Schrodinger geometries as duals to some non-relativistic field theories, in which the Schrodinger symmetry is broken further so that the phase space has a linear dependence of the momentum in a selected direction. We show that such solutions can arise in four-dimensional Einstein-Weyl supergravity as well as higher-dimensional extended gravities with quadratic curvature terms coupled to a massive vector. In Einstein-Weyl supergravity, the gyrating Schrodinger solutions can be supersymmetric, preserving 1/4 of the supersymmetry. We obtain the exact Green function in the phase space associated with a bulk free massive scalar.

9 pages

References in corpus (4)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Critical Gravity in Four Dimensions

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• Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity
• Higher Derivative Supergravities in Diverse Dimensions
• Not Conformally-Einstein Metrics in Conformal Gravity
• Supersymmetric Solutions in Four-Dimensional Off-Shell Curvature-Squared Supergravity