String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
Detlev Buchholz, Stephen J. Summers
Abstract
We study a weakly local, but nonlocal model in spacetime dimension d ≥ 2 and prove that it is maximally nonlocal in a certain specific quantitative sense. Nevertheless, depending on the number of dimensions d, it has string--localized or brane--localized operators which commute at spatial distances. In two spacetime dimensions, the model even comprises a covariant and local subnet of operators localized in bounded subsets of Minkowski space which has a nontrivial scattering matrix. The model thus exemplifies the algebraic construction of local observables from algebras associated with nonlocal fields.
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