Theoretical Physics Seminar: Pedro Liendo

Title: Bootstrapping line defects with O(2) global symmetry

Abstract: We discuss 1d conformal line defects with O(2) symmetry using the numerical bootstrap. We start with an agnostic approach and perform a systematic bootstrap study of correlation functions of  two canonical defect operators: the displacement and the tilt, without making any assumptions regarding the spectrum of the theory. We then move on to study a specific model: a localized magnetic field line defect, where we use analytic input coming from an epsilon-expansion. The interplay between analytical and numerical techniques gives intriguing results which we explore. We also comment on the generalization of our analysis to fermionic CFTs.