Correlators, topological field theory and categorification (1/3)

Christoph Schweigert (U Hamburg)

Stringnets for CFT correlators: We show how recent progress in quantum topology allows for conceptual and simple proofs of the existence of consistent systems of correlators of two-dimensional conformal field theories. We show that all correlators naturally factorize through spaces constructed from defect data. This points to a new general conceptual role for defects in quantum field theories.