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We provide a construction of a class of local and de Sitter covariant tachyonic quantum fields which exist for discrete negative values of the squared mass parameter and which have no Minkowskian counterpart.
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J. Bros, H. Epstein, M. Gaudin, U. Moschella and V. Pasquier: Triangular invariants, three-point functions and particle stability on the de Sitter universe. Commun. Math. Phys. 295
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