Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor non-Gaussianity in chiral scalar-tensor theories of gravity   Violation of parity symmetry in the gravitational sector, which manifests
into unequal left and right circular polarization states of primordial
gravitational waves, represents a way to test high-energy modifications to
general relativity. In this paper we study inflation within recently proposed
chiral scalar-tensor theories of gravity, that extend Chern-Simons gravity by
including parity-violating operators containing first and second derivatives of
the non-minimally coupled scalar (inflaton) field. Given the degeneracy between
different parity-violating theories at the level of the power spectrum
statistics, we make a detailed analysis of the parity violation on primordial
tensor non-Gaussianity. We show, with an explicit computation, that no new
contributions arise in the graviton bispectra if the couplings in the new
operators are constant in a pure de Sitter phase. On the other hand, if the
coupling functions are time-dependent during inflation, the tensor bispectra
acquire non-vanishing contributions from the parity-breaking operators even in
the exact de Sitter limit, with maximal signal in the squeezed and equilateral
configurations. We also comment on the consistency relation of the three-point
function of tensor modes in this class of models and discuss prospects of
detecting parity-breaking signatures through Cosmic Microwave Background
$B$-mode bispectra.

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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn