Conformal nets I: coordinate-free nets

@article{Bartels2013ConformalNI,
  title={Conformal nets I: coordinate-free nets},
  author={A. Bartels and C. L. Douglas and A. Henriques},
  journal={arXiv: Operator Algebras},
  year={2013}
}
  • A. Bartels, C. L. Douglas, A. Henriques
  • Published 2013
  • Mathematics, Physics
  • arXiv: Operator Algebras
  • We describe a coordinate-free perspective on conformal nets, as functors from intervals to von Neumann algebras. We discuss an operation of fusion of intervals and observe that a conformal net takes a fused interval to the fiber product of von Neumann algebras. Though coordinate-free nets do not a priori have vacuum sectors, we show that there is a vacuum sector canonically associated to any circle equipped with a conformal structure. This is the first in a series of papers constructing a 3… CONTINUE READING
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