Gyrating Schrödinger geometries and nonrelativistic field theories Academic Article uri icon


  • We propose homogeneous metrics of Petrov type III that describe gyrating Schrödinger geometries as duals to some nonrelativistic field theories, in which the Schrödinger 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 Schrödinger solutions can be supersymmetric, preserving 14 of the supersymmetry. We obtain the exact Green function in the phase space associated with a bulk free massive scalar. © 2012 American Physical Society.

published proceedings

  • Physical Review D

altmetric score

  • 0.25

author list (cited authors)

  • Lü, H., & Pope, C. N.

citation count

  • 5

complete list of authors

  • Lü, H||Pope, CN

publication date

  • September 2012