Joint Theory Seminar: Lorenzo Bianchi

Title: Impurities in long-range statistical models

Abstract: After reviewing some recent progress in the application of bootstrap techniques to impurities in statistical models, I will consider the long-range Ising model in the continuum limit, i.e. a non-local field theory with quartic coupling. I will describe three different ways of constructing conformal defects in this theory. While one method mimics the construction of defects in the local model, the other two are specific to the non-local model and they can be studied directly in d=3 using a perturbative expansion around the crossover between the long-range theory and the Gaussian one.