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

Detlev Buchholz·Stephen J. Summers
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Abstract

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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Detlev Buchholz, Stephen J. Summers. 2006-12-13. String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model. https://doi.org/10.1088/1751-8113%2F40%2F9%2F019

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