Non relativistic diffeomorphism and the geometry of the fractional quantum Hall effect
High Energy Physics - Theory
2015-08-28 v2 General Relativity and Quantum Cosmology
Abstract
We show that our recently proposed method\cite{BMM1,BMM2,BMM3,BM4} of constructing nonrelativistic diffeomorphism invariant field theories by gauging the Galilean symmetry provides a natural connection with the geometry of the fractional quantum Hall effect (FQHE). Specifically, the covariant derivative that appears on gauging, exactly reproduces the form that yields the Hall viscosity and Wen-Zee shift \cite{CYF}.
Keywords
Cite
@article{arxiv.1505.01967,
title = {Non relativistic diffeomorphism and the geometry of the fractional quantum Hall effect},
author = {Rabin Banerjee and Pradip Mukherjee},
journal= {arXiv preprint arXiv:1505.01967},
year = {2015}
}
Comments
This paper is withdrawn. Its contents will be used in a separate paper