Newton-Cartan (super)gravity as a non-relativistic limit

Abstract

We define a procedure that, starting from a relativistic theory of supergravity, leads to a consistent, non-relativistic version thereof. As a first application we use this limiting procedure to show how the Newton-Cartan formulation of non-relativistic gravity can be obtained from general relativity. Then we apply it in a supersymmetric case and derive a novel, non-relativistic, off-shell formulation of three-dimensional Newton-Cartan supergravity.

29 pages; v2: added comment about different NR gravities and more refs; v3: more refs, matches published version

References in corpus (6)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• The BMS/GCA correspondence
• Newtonian Gravity and the Bargmann Algebra
• Spacetime Symmetries of the Quantum Hall Effect
• Lifshitz Space-Times for Schroedinger Holography
• The Non-Relativistic Superparticle in a Curved Background

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