A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.
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A resonant ghostly 3D Pais-Uhlenbeck oscillator exhibits non-diagonalisable classical flow with Jordan chains of length three and a hidden u(2,1) spectrum-generating algebra upon quantization, with tri-Hamiltonian geometry but no positive-definite linear combination.
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Escape from Ostrogradsky via Hidden Ghost Parity
A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.
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Hidden $\mathfrak{u}(2,1)$ symmetry and Jordan chains in a resonant ghostly three-dimensional model
A resonant ghostly 3D Pais-Uhlenbeck oscillator exhibits non-diagonalisable classical flow with Jordan chains of length three and a hidden u(2,1) spectrum-generating algebra upon quantization, with tri-Hamiltonian geometry but no positive-definite linear combination.