Inflationary Magnetogenesis: Primordial Curvature Perturbations and Magnetic Fields

This lecture discusses the imprints of primordial curvature perturbations on inflationary magnetic fields, focusing on the generation, evolution, and observational evidence of cosmological magnetic fields. The instructor outlines the observational evidence for magnetic fields and provides a brief overview of inflationary magnetogenesis. The talk covers various models, including single and two-field inflationary models, and their implications for magnetic field power spectra and cosmic microwave background (CMB) anisotropies. The instructor emphasizes the importance of breaking conformal invariance in Maxwell's theory to generate primordial magnetic fields during inflation. The lecture also explores the non-Gaussian nature of cross-correlations between curvature perturbations and magnetic fields, highlighting the significance of these correlations in understanding inflationary dynamics. The discussion includes constraints on successful magnetogenesis scenarios and the potential for detecting these imprints in CMB observations. The instructor concludes by summarizing the challenges and future directions in the study of inflationary magnetogenesis and its observational consequences.