Description
Noether’s theorem, which relates continuous global symmetries and conserved currents, is perhaps one of the most famous results in theoretical physics. While it is well established for theories with a path integral formulation, its status for abstract QFTs is not settled. In this talk I will present a proof of Noether’s theorem following from the usual axioms of two-dimensional conformal field theory. In higher dimensions, I will argue that it is equivalent to the existence of twist defects for continuous global symmetries.