We study the observational signatures of two-form field in the inflationary cosmology. In our setup a two-form field is kinetically coupled to a spectator scalar field and generates sizable gravitational waves and smaller curvature perturbation. We find that the sourced gravitational waves have a distinct signature: they are always statistically anisotropic and their spherical moments are non-zero for hexadecapole and tetrahexacontapole, while the quadrupole moment vanishes. Since their amplitude can reach O(10 −3 ) in the tensor-toscalar ratio, we expect this novel prediction will be tested in the next generation of the CMB experiments.
I. INTRODUCTIONThe inflationary scenario elegantly explains the anisotropy of cosmic microwave background radiation (CMB) and the seed of the large scale structure in our universe. On top of them, it quantum-mechanically generates the fluctuations of spacetime, namely primordial gravitational waves, and imprints the B-mode polarization pattern in the CMB map. The detection of the primordial B-mode polarization originating from the inflationary universe is therefore one of the most important targets in cosmology. Its amplitude is parameterized by tensor-to-scalar ratio r and recent joint collaboration of Planck and BICEP2/Keck array have constrained its amount as r < ∼ 0.07 [1]. In the next decades, the sensitivity will increase up to r ∼ 10 −3 by the appearance of LiteBIRD [2] and CMB-S4 [3]. The energy scale probed by CMB observations is around the scale of grand unification theory 10 16 GeV, and thus we have a chance to obtain indispensable clues to develop the high energy physics such as GUT, supergravity or superstring through the detection