A spin-4 analog of 3D massive gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, v2 : version published in Class. Quant. Grav

Scientific paper

A 6th-order, but ghost-free, gauge-invariant action is found for a 4th-rank symmetric tensor potential in a three-dimensional (3D) Minkowski spacetime. It propagates two massive modes of spin 4 that are interchanged by parity, and is thus a spin-4 analog of linearized "new massive gravity". Also found are ghost-free spin-4 analogs of linearized "topologically massive gravity" and "new topologically massive gravity", of 5th- and 8th-order respectively.

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