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arXiv · 1712.10071

Gravity and the spin-2 planar Schroedinger equation

Eric A. Bergshoeff·Jan Rosseel·Paul K. Townsend
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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.

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Eric A. Bergshoeff, Jan Rosseel, Paul K. Townsend. 2017-12-28. Gravity and the spin-2 planar Schroedinger equation. https://doi.org/10.1103/physrevlett.120.141601

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