String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
Detlev Buchholz, Stephen J. Summers
December 18, 2005
We study a weakly local, but nonlocal model in spacetime dimension $d \geq 2$
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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