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Vacuum States and the S-Matrix in dS/CFT
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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.
Forward citations
Cited by 2 Pith papers
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The Thermodynamics of Cosmological Horizons and Their Holographic Description in de Sitter Space
A universal first law of thermodynamics for de Sitter cosmological horizons defines entropy in the holographic dual at future infinity as a function of boundary pressure and angular momentum from the Brown-York stress tensor.
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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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