dS/CFT and the operator product expansion

Abstract

Global conformal invariance determines the form of two and three-point functions of quasi-primary operators in a conformal field theory, and generates nontrivial relations between terms in the operator product expansion. These ideas are generalized to the principal and complementary series representations, which play an important role in the conjectured dS/CFT correspondence. The conformal partial wave expansions are constructed for these representations which in turn determine the operator product expansion. This leads us to conclude that conformal field theories containing such representations have essential singularities, so cannot be realized as conventional field theories.

24 pages, 3 figures

References in corpus (4)

• Constructing local bulk observables in interacting AdS/CFT
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• Holographic Representation of Higher Spin Gauge Fields
• Some comments on embedding inflation in the AdS/CFT correspondence

Cited by in corpus (8)

• In search of conformal theories
• An invitation to the principal series
• Gravitational Wilson Lines in 3D de Sitter
• Higher Spin de Sitter Hilbert Space
• Probing de Sitter Space Using CFT States
• Bianchi IX geometry and the Einstein-Maxwell theory
• Conformal Wave Expansions for Flat Space Amplitudes
• Aspects of dS/CFT Holography