Abstract
Following the talks I gave in 2023, I will continue the discussion of applying conformal field theory to understand the critical phase of matter. I will begin by reviewing key two-dimensional models—including the critical Ising and Potts models, as well as the free compact boson model underlying the BKT phase transition—from the viewpoint of exactly solvable conformal field theories. I will then talk about scalar conformal field theories in 2+1 dimensional, focusing on their stability properties from a modern perspective. Following this, I will discuss 2 + 1 dimensional gauge theories with bosonic or fermionic matter. If time permits, I will briefly introduce developments in an exotic unmeltable order of quantum field theory.
Anyone interested is welcome to attend.