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} }
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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