dS/CFT and the operator product expansion

Understand

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.