A quasi-de Sitter inflationary phase cannot remain free of spin-2 ghosts for longer than the smaller of a classical slow-roll time and a quantum-diffusion time, both polynomial in 1/H.
Higuchi Bound on Slow Roll Inflation and the Swampland
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abstract
In this paper we study the implications of the generalized Higuchi bound on massive spin-two fields for the derivative of the scalar potential within bimetric theory. In contrast to the recent de Sitter swampland conjecture, an upper bound on the derivate of the scalar potential follows from the generalized Higuchi bound. In combination, this leaves a window for the derivate of the scalar potential. We discuss this bound in several representative bimetric models and parameter regions.
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Distance-Higuchi Bounds on Inflationary Field Ranges and Lifetimes
A quasi-de Sitter inflationary phase cannot remain free of spin-2 ghosts for longer than the smaller of a classical slow-roll time and a quantum-diffusion time, both polynomial in 1/H.