Constraints on the inflationary vacuum and reheating era from NANOGrav
Using the 15-year NANOGrav data, this work constrains inflationary parameters and the reheating phase, finds a preference for a blue-tilted tensor spectrum and a radiation-like reheating phase, simultaneously demonstrates that observations favor a specific non-Bunch-Davies alpha-vacuum, and suggests that frequency-dependent modifications of this vacuum could resolve the blue-tilt problem.