More On Nonrelativistic Diffeomorphism Invariance

Abstract

Certain aspects of nonrelativistic diffeomorphisms in 2+1 dimensions are investigated. These include a nonrelativistic limit of some relativistic actions in 3 dimensions, the Seiberg-Witten map, a modification of the viscosity tensor in particular due to a non-uniform magnetic field, a redefinition of background fields, and 1/R terms on Riemann surfaces of constant curvature.

19 pages. v2: minor changes, reference added; v3: improved discussion on the Seiberg-Witten map, typos corrected, reference added, version to appear in PRD

References in corpus (4)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Density-curvature response and gravitational anomaly
• Geometry of Fractional Quantum Hall Fluids
• General coordinate invariance in quantum many-body systems

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• Galilean invariance at quantum Hall edge
• Geometric and computational aspects of chiral topological quantum matter
• Relativistic Gravity and Parity-Violating Non-Relativistic Effective Field Theories