Haag Duality in Conformal Quantum Field Theory

Apr, 1990
24 pages
Published in:
  • Rev.Math.Phys. 2 (1990) 105-125
Report number:
  • DESY-90-040

Citations per year

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Abstract: (WSP)
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.
  • field theory: conformal
  • dimension: 2
  • space-time: torus
  • algebra: central charge
  • axiomatic field theory
  • duality