How to Add a Boundary Condition

@article{Carpi2013HowTA,
  title={How to Add a Boundary Condition},
  author={Sebastiano Carpi and Yasuyuki Kawahigashi and R. Longo},
  journal={Communications in Mathematical Physics},
  year={2013},
  volume={322},
  pages={149-166}
}
  • Sebastiano Carpi, Yasuyuki Kawahigashi, R. Longo
  • Published 2013
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • Given a conformal QFT local net of von Neumann algebras $${\mathcal {B}_2}$$ on the two-dimensional Minkowski spacetime with irreducible subnet $${\mathcal {A} \otimes \mathcal {A}}$$, where $${\mathcal {A}}$$ is a completely rational net on the left/right light-ray, we show how to consistently add a boundary to $${\mathcal {B}_2}$$: we provide a procedure to construct a Boundary CFT net $${\mathcal {B}}$$ of von Neumann algebras on the half-plane x >  0, associated with $${\mathcal {A}}$$, and… CONTINUE READING
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