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Eric Bergshoeff
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Gravity and the spin-2 planar Schroedinger equation
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We show how a Schroedinger equation proposed
for the GMP gapped spin-2 mode of fractional
Quantum Hall
states can be found from a novel non-relativistic
limit, applicable only in 2+1 dimensions,
of the massive spin-2 Fierz-Pauli field equations.
Furthermore, we show that the same Schroedinger
equation may also be found from a novel
null reduction of the linearized Einstein
equations,
with general potential energy function for
a 3+1 dimensional background spacetime of
Brinkman-wave type.
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