The construction of pointlike localized charged fields from conformal Haag—Kastler nets

✍ Scribed by Martin Jòrß

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 838 KB
• Volume: 38
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398350

✦ Synopsis

Starting from a chiral conformal Haag-Kastler net on two-dimensional Minkowski space we construct associated charged pointlike localized fields which intertwine between arbitrary superselection sectors with finite statistics of the theory. This amounts to a proof of the Spin-Statistics theorem, the PCT theorem and the existence of operator product expansions.

This Letter generalizes similar results of a recently published paper by Fredenhagen and the author from the neutral vacuum sector to the the full theory with arbitrary charge and finite statistics.