# String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model

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.

Keywords:

*none*