More On Nonrelativistic Diffeomorphism Invariance

TL;DR

This paper explores various aspects of nonrelativistic diffeomorphisms in 2+1 dimensions, including limits of relativistic actions, the Seiberg-Witten map, and modifications of physical tensors under specific conditions.

Contribution

It provides new insights into nonrelativistic diffeomorphism invariance, including the nonrelativistic limit of relativistic actions and modifications of the viscosity tensor in magnetic fields.

Findings

Derived nonrelativistic limits of relativistic actions in 3D

Analyzed the Seiberg-Witten map in this context

Modified the viscosity tensor considering non-uniform magnetic fields

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.