Gravity and the spin-2 planar Schroedinger equation
Published version
Peer-reviewed
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Repository DOI
Type
Article
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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
1079-7114
Volume Title
120
Publisher
APS
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)