Conformal Nets I: Coordinate-Free Nets

@inproceedings{Bartels2013ConformalNI,
  title={Conformal Nets I: Coordinate-Free Nets},
  author={Arthur Bartels and Christopher L. Douglas and A C G Henriques},
  year={2013}
}
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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