Gravity and the spin-2 planar Schroedinger equation
High Energy Physics - Theory
2018-04-11 v2
Abstract
A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It is also found from a novel null reduction of the linearized Einstein field equations in 3+1 dimensions, and in this context a uniform distribution of spin-2 particles implies, via a Brinkmann-wave solution of the non-linear Einstein equations, a confining harmonic oscillator potential for the individual particles.
Cite
@article{arxiv.1712.10071,
title = {Gravity and the spin-2 planar Schroedinger equation},
author = {Eric A. Bergshoeff and Jan Rosseel and Paul K. Townsend},
journal= {arXiv preprint arXiv:1712.10071},
year = {2018}
}
Comments
5 pages. Additional references, with discussion, in v2, plus improved analysis of parity violation