Geodesic
CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS
Forum of Mathematics, Sigma, Tome 2 (2014)

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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. By a similar technique, another family of wedge-local nets is constructed using certain endomorphisms of conformal nets recently studied by Longo and Witten. 
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     author = {YOH TANIMOTO},
     title = {CONSTRUCTION {OF} {TWO-DIMENSIONAL} {QUANTUM} {FIELD} {MODELS} {THROUGH} {LONGO{\textendash}WITTEN} {ENDOMORPHISMS}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {2},
     year = {2014},
     doi = {10.1017/fms.2014.3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2014.3/}
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YOH TANIMOTO. CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS. Forum of Mathematics, Sigma, Tome 2 (2014). doi: 10.1017/fms.2014.3

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