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This work introduces the chiral memory effect on the celestial sphere that measures the permanent change of electromagnetic fields by spin-dependent processes in bulk. Unlike the conventional memory effect based on the permanent soft shift in the gauge field itself, it is a permanent change in its spin angular momentum. The concept underlying the chiral memory (conventional memory) effect is optical spin torque (optical force) induction in bulk. Photons and EM radiation carry angular momentum, which is conserved without interactions. Chiral interactions with matter, medium, curvature, and theories with parity violation, i.e., axion-QED, transfers spin angular momentum to EM fields. In nature, such phenomena occur either on EM radiation (chiral memory) or in the vacuum of QED (vacuum chiral memory). It can be parametrized in terms of the photon’s topological (axial) current at null infinity. To elude the gauge ambiguity of the topological current, we use the transverse gauge and show it is the physical part of the current suggested by its cohomology structure. [ABSTRACT FROM AUTHOR]

Upon embedding the axion-inflation in the minimal left-right symmetric gauge extension of the SM with gauge group SU(2)L × SU(2)R × U(1)B−L, [1] proposed a new particle physics model for inflation. In this work, we present a more detailed analysis. As a compelling consequence, this setup provides a new mechanism for simultaneous baryogenesis and right-handed neutrino creation by the chiral anomaly of WR in inflation. The lightest right-handed neutrino is the dark matter candidate. This setup has two unknown fundamental scales, i.e., the scale of inflation and left-right symmetry breaking SU(2)R × U(1)B−L→ U(1)Y. Sufficient matter creation demands the left-right symmetry breaking scale happens shortly after the end of inflation. Interestingly, it prefers left-right symmetry breaking scales above 1010 GeV, which is in the range suggested by the non-supersymmetric SO(10) Grand Unified Theory with an intermediate left-right symmetry scale. Although WR gauge field generates equal amounts of right-handed baryons and leptons in inflation, i.e. B − L = 0, in the Standard Model sub-sector B − LSM ≠ 0. A key aspect of this setup is that SU(2)R sphalerons are never in equilibrium, and the primordial B − LSM is conserved by the Standard Model interactions. This setup yields a deep connection between CP violation in physics of inflation and matter creation (visible and dark); hence it can naturally explain the observed coincidences among cosmological parameters, i.e., ηB ≃ 0.3Pζ and ΩDM ≃ 5ΩB. The new mechanism does not rely on the largeness of the unconstrained CP-violating phases in the neutrino sector nor fine-tuned masses for the heaviest right-handed neutrinos. The SU(2)R-axion inflation comes with a cosmological smoking gun; chiral, non-Gaussian, and blue-tilted gravitational wave background, which can be probed by future CMB missions and laser interferometer detectors. [ABSTRACT FROM AUTHOR]