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Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
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DOI：10.1088/1361-6382/ae5d1b.png)
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Abstract
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We analyze the particle spectrum of a second-order (in derivatives) theory based on a rank-2 tensor field with both symmetric and antisymmetric components. By demanding the existence of a propagating massless spin-2 particle and invariance under linearized transverse diffeomorphisms, we derive a new class of stable models with two massless scalars and a single massless spin-2 particle. A natural nonlinear completion is proposed in terms of a dynamical metric field. The identification of the spectrum is carried out using a fully Lagrangian, gauge-invariant approach which makes use of Bardeen variables in a constructive manner. The approach significantly reduces the number of steps in the spectrum determination in some cases.
Keywords:
metric affine gravity
scalar tensor
spin-2
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3.7
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1.3W
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3.0W
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