Abstract
We prove the existence of new classes of ghost- and tachyon- free gauge-invariant gravity Lagrangians for the spontaneously broken Poincaré, affine, and projective groups, respectively. To do so the formalism of spin-projection semioperators which generalizes the one of the ordinary spin-projection operators has been developed.
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Baikov, P., Hayashi, M., Nelipa, N. et al. Ghost- and tachyon-free gauge-invariant, Poincaré, affine and projective Lagrangians. Gen Relat Gravit 24, 867–880 (1992). https://doi.org/10.1007/BF00759092
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DOI: https://doi.org/10.1007/BF00759092