New approach to nonrelativistic diffeomorphism invariance and its applications
Rabin Banerjee, Pradip Mukherjee
TL;DR
This paper presents a new structured algorithm for deriving nonrelativistic diffeomorphism invariance by gauging Galilean symmetry, with applications in quantum Hall effect, fluid dynamics, Newton-Cartan geometry, and Horava-Lifshitz gravity.
Contribution
It introduces a novel systematic method for obtaining nonrelativistic diffeomorphism invariance applicable to various physical models.
Findings
Developed a structured algorithm for nonrelativistic diffeomorphism invariance.
Applied the method to fractional quantum Hall effect and fluid models.
Connected the approach to Newton-Cartan geometry and Horava-Lifshitz gravity.
Abstract
A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphism invariances in both space and spacetime by gauging the Galilean symmetry in a generic nonrelativistic field theoretical model is provided. Various applications like the obtention of nonrelativistic diffeomorphism invariance, the introduction of Chern-Simons term and its role in fractional quantum Hall effect, induction of diffeomorphism in irrotational fluid model, abstraction of Newton-Cartan geometry and the emergence of Horava-Lifshitz gravity are discussed in details.
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