HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY

Author:

BUCHHOLZ DETLEV1,SCHULZ-MIRBACH HANNS1

Affiliation:

1. II. Institut für Theoretische Physik, Universität Hamburg, 2000 Hamburg 50, Germany

Abstract

Haag duality is established in conformal quantum field theory for observable fields on the compactified light ray S1 and Minkowski space S1×S1, 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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