1997/11/27 by Karl-Henning Rehren, K.-H. Rehren · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #quant-ph
paper · pdf · doi:10.1023/a:1007436124379
published as Lett.Math.Phys.46:95-110,1998 · 10 pages, one reference and report-no. added
arxiv created 1997/11/27 · openalex publication_date 1998/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The statistics of soliton sectors of massive 2D field theories is analysed. In the soliton field algebra, the non-local commutation relations are determined and Weak Locality, Spin-Statistics and CPT theorems are proven. These theorems depart from their usual appearance due to the broken symmetry connecting the inequivalent vacua. An interpretation in terms of modular theory is given. For the neutral subalgebra, the theorems hold in the familiar form, and Twisted Locality is derived.