Vacuum states and the S matrix in dS/CFT
Open accessAbstract
We propose a definition of dS/CFT correlation functions by equating them to S-matrix elements for scattering particles from ${\mathcal{I}}^{\ensuremath{-}}$ to ${\mathcal{I}}^{+}.$ 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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Research works printed but not linked: 1
- [14][14] S. B. Giddings, 'The boundary S-matrix and the AdS to CFT dictionary,' Phys. Rev. Lett. 83 , 2707 (1999) [arXiv:hep-th/9903048]. - · arXiv
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- Authors
- Spradlin, M., & Volovich, A.
- Affiliations
- Princeton University (US)
- Harvard University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2002-05-15
- Volume
- 65
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2004311779
- Cited by
- 104
- References
- 85
- Citations by year
- 2026: 2 · 2025: 7 · 2024: 2 · 2022: 1 · 2021: 4 · 2019: 1 · 2018: 2 · 2017: 1 · 2016: 1 · 2015: 3 · 2014: 1 · 2013: 2 · 2012: 2
- FWCI
- 11.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- dS/CFT correspondence, de Sitter space, scattering matrix, vacuum state, massive scalar field, horizon, analytic continuation, three-point functions, marginal deformations, AdS/CFT correspondence
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