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Gravity and the spin-2 planar Schroedinger equation

Published version
Peer-reviewed

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Authors

Townsend, PK 
Bergshoeff, Eric A 
Rosseel, Jan 

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.

Description

Keywords

0101 Pure Mathematics

Journal Title

Physical Review Letters

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

120

Publisher

APS
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)