Title : Analysis of Conformal Fields

Speaker: Nam-Gyu Kang(KIAS)

Abstract : Conformal field theory (CFT) was originally introduced to connect various critical statistical physics models with Virasoro representation theory. Since then, it has found applications in string theory, condensed matter physics, vertex operator algebras, and probability theory. Meanwhile, stochastic Loewner evolution (SLE), introduced by Schramm, emerged as the only possible candidates for scaling limits of interface curves in several critical lattice models. This development has led to rigorous proofs of significant conjectures in statistical physics, including some highly non-trivial predictions of CFT. After reviewing the evolution of these ideas, I will present the connections between CFT and SLE across various conformal frameworks.