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

✍ Scribed by Bert Schroer

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 238 KB
• Volume: 275
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1999.5921

✦ Synopsis

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 vacuum polarization (FWG-operators), which are closely related to objects fulfilling the Zamolodchikov Faddeev algebraic structure. They generate a thermal Hilbert space'' and allow us to understand the equivalence of the KMS conditions with the so-called cyclicity equation for formfactors, which are 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.