Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-14
JHEP 1109:045,2011
Physics
High Energy Physics
High Energy Physics - Theory
51 pages, v2: Corrected statement about parity violation in the gravitational wave bispectrum. Some other changes and referenc
Scientific paper
10.1007/JHEP09(2011)045
We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The de Sitter isometries constrain the possible shapes to only three: two preserving parity and one violating parity. These isometries imply that these correlation functions should be conformal invariant. One of the shapes is produced by the ordinary gravity action. The other shape is produced by a higher derivative correction and could be as large as the gravity contribution. The parity violating shape does not contribute to the bispectrum [1106.3228, 1108.0175], even though it is present in the wavefunction. We also 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. Here all three shapes can arise, including the parity violating one.
Maldacena Juan M.
Pimentel Guilherme L.
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