Exact Results in Quantum Theory

Celestial holography conjectures a duality between the gravitational S-matrix and correlators in a two-dimensional conformal field theory (so-called celestial CFT). In this talk, after a brief review of soft theorems and asymptotic symmetries I will show the equivalence between them and formulate the holographic dictionary. Next, I will discuss how celestial OPE indicates new asymptotic symmetry algebras in the bulk theory.