Abstract
AbstractWe present a procedure for constructing families of local, massive and interacting Haag–Kastler nets on the two-dimensional spacetime through an operator-algebraic method. A proof of existence of local observables is given without relying on modular nuclearity. By a similar technique, another family of wedge-local nets is constructed using certain endomorphisms of conformal nets recently studied by Longo and Witten.
Highlights
We present a procedure for constructing families of local, massive and interacting Haag–Kastler nets on the two-dimensional spacetime through an operator-algebraic method
A proof of existence of local observables is given without relying on modular nuclearity
In a series of papers [6, 18, 34] we have investigated operator-algebraic methods based on conformal field theory in order to construct quantum field models on two-dimensional spacetime with a weak localization property
Summary
In a series of papers [6, 18, 34] we have investigated operator-algebraic methods based on conformal field theory in order to construct quantum field models on two-dimensional spacetime with a weak localization property. An inner symmetry of a conformal net A0 is a collection of automorphisms of each local algebra A0(O) implemented by a common unitary operator V0 which preserves the vacuum state Ω0, · Ω0 .
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