New shape of parity-violating graviton non-Gaussianity

Kavli Affiliate: Misao Sasaki

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| Summary:

We show that the general vacuum states that respect the de Sitter symmetry,
known as the {alpha}-vacua, can introduce non-vanishing parity-violating
tensor non-Gaussianities. This is due to the mixing by the Bogoliubov
transformation of the positive and negative frequency modes of the Bunch-Davies
vacuum. We calculate explicitly the bispectra of tensor perturbations and show
that the amplitude can be exponentially enhanced for certain choices of the
squeezing parameter {alpha} and the phase {phi} of the {alpha}-vacua. We
find a new shape for the parity-violating tensor bispectrum which peaks in the
flattened configuration

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