Symmetries of Renormalization Group Fixed Points

I will give a general overview of our current understanding of the symmetries of renormalization group fixed points in quantum field theory and why they are interesting, including scale, conformal and Weyl invariance. I will describe the distinction between these symmetries, as well as what is generally known about when these symmetries imply one another. I’ll also give an overview of my past and present work on this topic and how it’s evolved over my career.