# An Algebraic Construction of Boundary Quantum Field Theory

@article{Longo2010AnAC, title={An Algebraic Construction of Boundary Quantum Field Theory}, author={Roberto Longo and Edward Witten}, journal={Communications in Mathematical Physics}, year={2010}, volume={303}, pages={213-232} }

We build up local, time translation covariant Boundary Quantum Field Theory nets of von Neumann algebras $${\mathcal A_V}$$ on the Minkowski half-plane M+ starting with a local conformal net $${\mathcal A}$$ of von Neumann algebras on $${\mathbb R}$$ and an element V of a unitary semigroup $${\mathcal E(\mathcal A)}$$ associated with $${\mathcal A}$$. The case V = 1 reduces to the net $${\mathcal A_+}$$ considered by Rehren and one of the authors; if the vacuum character of $${\mathcal A}$$ is…

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