HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY

Source abstract

Haag duality is established in conformal quantum field theory for observable fields on the compactified light ray S 1 and Minkowski space S 1 ×S 1 , respectively. This result provides the foundation for an algebraic approach to the classification of conformal theories. Haag duality can fail, however, for the restriction of conformal fields to the underlying non-compact spaces ℝ, respectively ℝ×ℝ. A prominent example is the stress energy tensor with central charge c>1.