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arXiv · 1206.6510

Gyrating Schrodinger Geometries and Non-Relativistic Field Theories

H. Lu·C. N. Pope
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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.

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H. Lu, C. N. Pope. 2012-06-27. Gyrating Schrodinger Geometries and Non-Relativistic Field Theories. https://doi.org/10.1103/physrevd.86.061501

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