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Although the cosmic microwave background (CMB) is largely understood to behomogeneous and isotropic, the CMB angular power spectra present anomalies thatseem to break down parity symmetry at large angular scales. We argue that theprimordial scalar and tensor power spectra can be parity asymmetric in our newconstruction of inflationary quantum fluctuations. Our formulation stems fromthe foundational questions of quantum field theory in curved spacetime in whichwe impose geometric superselection rules to the vacuum structure for(single-field) inflationary quantum fluctuations based on discrete spacetimetransformations ($\mathcal{P}\mathcal{T}$). As a result, we estimate theamplitude of power asymmetry in the scalar and tensor sectors at differentscales of $ 10^{-4} {\rm Mpc^{-1}}\lesssim k\lesssim 10^{-3}{\rm Mpc^{-1}}$. Inparticular, we predict the parity asymmetry for the primordial gravitationalwaves (PGWs) and quantify it for different models, like Starobinsky and$\alpha-$attractor single-field inflationary scenarios.

Parity asymmetry of primordial scalar and tensor power spectra