A new formulation of non-relativistic diffeomorphism invariance

Abstract

We provide a new formulation of nonrelativistic diffeomorphism invariance. It is generated by localising the usual global Galilean Symmetry. The correspondence with the type of diffeomorphism invariant models currently in vogue in the theory of fractional quantum Hall effect has been discussed. Our construction is shown to open up a general approach of model building in theoretical condensed matter physics. Also, this formulation has the capacity of obtaining Newton - Cartan geometry from the gauge procedure.

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References in corpus (2)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Newtonian Gravity and the Bargmann Algebra

Cited by in corpus (12)

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• The Non-Relativistic Superparticle in a Curved Background
• Holographic Hall conductivities from dyonic backgrounds
• Spatially covariant gravity with a dynamic lapse function
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure
• Covariant Formulation of the Newton-Hooke Particle and its Canonical Analysis
• Relativistic Gravity and Parity-Violating Non-Relativistic Effective Field Theories