Such vaccines against flu viruses don’t contain any synthetic nanoparticles as they wouldn’t have any task. Because the contact to the antibody-producing cells is made by injecting the vaccine directly into the blood, no “fillers” are needed.
The Paul-Ehrlich Institute (in Germany) gives the following information on its website:
…..”Although some of the components are in a size range of nanoparticles, it is not about synthetic nanoparticles.”