Abstract

We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The three point function, or bispectrum, has only three possible shapes, two preserving parity and one violating parity. The constraint on the shape comes from the de Sitter isometries and it is valid under very general assumptions. These isometries imply that these correlation functions should be conformal invariant. One of the shapes is produced by the ordinary gravity action. The other shapes are produced by higher derivative corrections and could be as large as the gravity contribution. We introduce a spinor helicity formalism to describe de Sitter gravitational waves with circular polarization. These results also apply to correlation functions in Anti-de Sitter space. They also describe the general form of stress tensor correlation functions, in momentum space, in a three dimensional conformal field theory.

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