Holographic operator mapping in dS/CFTand cluster decomposition

Chatterjee, Atreya; Lowe, David A.

doi:10.1103/physrevd.92.084038

Holographic operator mapping in dS/CFT and cluster decomposition

Journal Article · Mon Oct 19 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/physrevd.92.084038· OSTI ID:2340817

Chatterjee, Atreya ^[1]; Lowe, David A. ^[2]

Brown University, Providence, RI (United States); Brown University
Brown University, Providence, RI (United States)

The bulk-to-boundary mapping for massive scalar fields is constructed, providing a de Sitter analog of the Lehmann-Symanzik-Zimmermann reduction formula. The set of boundary correlators thus obtained defines a potentially new class of conformal field theories based on principal series representations of the global conformal group. Conversely, we show that bulk field operators in de Sitter may be reconstructed from boundary operators. While consistent at the level of the free field theory, the boundary conformal field theory does not satisfy cluster decomposition. Furthermore, the resulting conformal field theory does not satisfy the basic axioms of Euclidean quantum field theory due to Osterwalder and Schrader, so it is likely not well defined once interactions are included.

View Accepted Manuscript (DOE)

Research Organization:: Brown University, Providence, RI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010010

OSTI ID:: 2340817

Alternate ID(s):: OSTI ID: 1223826

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 8 Vol. 92; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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