Journal of High Energy Physics

, 2015:180 | Cite as

Newton-Cartan supergravity with torsion and Schrödinger supergravity

  • Eric Bergshoeff
  • Jan Rosseel
  • Thomas Zojer
Open Access
Regular Article - Theoretical Physics


We derive a torsionfull version of three-dimensional \( \mathcal{N}=2 \) Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The “superconformal” theory that we start with is Schrödinger supergravity which we obtain by gauging the Schrödinger superalgebra. We present two non-relativistic \( \mathcal{N}=2 \) matter multiplets that can be used as compensators in the superconformal calculus. They lead to two different off-shell formulations which, in analogy with the relativistic case, we call “old minimal” and “new minimal” Newton-Cartan supergravity. We find similarities but also point out some differences with respect to the relativistic case.


Gauge Symmetry Supergravity Models Holography and condensed matter physics (AdS/CMT) Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Van Swinderen Institute for Particle Physics and GravityUniversity of GroningenGroningenThe Netherlands
  2. 2.Institute for Theoretical PhysicsVienna University of TechnologyViennaAustria
  3. 3.Albert Einstein Center for Fundamental PhysicsUniversity of BernBernSwitzerland

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