The z-to-0 'warped' limit of fermionic Lifshitz theories carries an anomalous anisotropic translation symmetry, a mixed boost-translation anomaly sourced by torsion, with coefficient kappa = q^3/(32*pi^2) in four dimensions.
Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry
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abstract
Newtonian gravity was formulated as a geometrodynamic theory as far back in 1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though there are several approaches of realizing the algebraic structure of the Newton Cartan geometry from a contraction of the relativistic results, a dynamical (field theoretic) realization of it is lacking. In this paper we present such a realization from the localisation of the Galilean Symmetry of nonrelativistic matter field theories.
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Torsion and anomalies in the warped limit of Lifschitz theories
The z-to-0 'warped' limit of fermionic Lifshitz theories carries an anomalous anisotropic translation symmetry, a mixed boost-translation anomaly sourced by torsion, with coefficient kappa = q^3/(32*pi^2) in four dimensions.