Reducing 4D massless and massive scalar actions in flat and Klein space to 3D theories on hyperbolic slices produces continuous spectra linked by boundary terms, with boundary modes matching light-cone or null-infinity limits.
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The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
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Flat Space Physics from AdS Actions
Reducing 4D massless and massive scalar actions in flat and Klein space to 3D theories on hyperbolic slices produces continuous spectra linked by boundary terms, with boundary modes matching light-cone or null-infinity limits.
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No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$
The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.
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QFT in Klein space
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.