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Vacuum States and the S-Matrix in dS/CFT
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We propose a definition of dS/CFT correlation functions by equating them to S-matrix elements for scattering particles from I^- to I^+. In planar coordinates, which cover half of de Sitter space, we consider instead the S-vector obtained by specifying a fixed state on the horizon. We construct the one-parameter family of de Sitter invariant vacuum states for a massive scalar field in these coordinates, and show that the vacuum obtained by analytic continuation from the sphere has no particles on the past horizon. We use this formalism to provide evidence that the one-parameter family of vacua corresponds to marginal deformations of the CFT by computing a three-point function.
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Cited by 3 Pith papers
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de Sitter holography from a Lorentzian torus
A new holographic duality is proposed: quantum gravity on a two-time version of de Sitter space is dual to a conformal field theory on a Lorentzian torus, reproducing de Sitter entropy, correlators, and pseudoentropy.
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The (No) Boundary Proposal and excited states in de Sitter holography
Adding an extra Euclidean boundary to the no-boundary de Sitter path integral defines a family of excited states whose holographic correlators are modified relative to the vacuum.
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EFT Perspective On de-Sitter S-Matrix
In a carefully chosen limit, the de Sitter scattering amplitude is written as an integral transform of the flat-space amplitude, and requiring energy conservation on exceptional de Sitter scalars reproduces DBI and Sp...
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