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arXiv · hep-th/9712124

Modular Wedge Localization and the d=1+1 Formfactor Program

Bert Schroer
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Abstract

In this paper I continue the study of the new framework of modular localization and its constructive use in the nonperturbative d=1+1 Karowski-Weisz-Smirnov formfactor program. Particular attention is focussed on the existence of semilocal generators of the wedge-localized algebra without vauum polarization (FWG-operators) which are closely related to objects fulfilling the Zamolodchikov-Faddeev algebraic structure. They generate a ``thermal Hilbert space'' and allow to understand the equivalence of the KMS conditions with the so-called cyclicity equation for formfactors which was known to be closely related to crossing symmetry properties. The modular setting gives rise to interesting new ideas on ``free'' d=2+1 anyons and plektons.

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Bert Schroer. 1998-10-27. Modular Wedge Localization and the d=1+1 Formfactor Program. https://doi.org/10.1006/aphy.1999.5921

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