On Charged Fields with Group Symmetry and Degeneracies of Verlinde's Matrix S
| dc.creator | Mueger, Michael | |
| dc.date | 1997-05-05 | |
| dc.date | 1998-03-23 | |
| dc.date.accessioned | 2026-07-07T09:08:17Z | |
| dc.date.available | 2026-07-07T09:08:17Z | |
| dc.description | We consider the complete normal field net with compact symmetry group constructed by Doplicher and Roberts starting from a net of local observables in >=2+1 spacetime dimensions and its set of localized (DHR) representations. We prove that the field net does not possess nontrivial DHR sectors, provided the observables have only finitely many sectors. Whereas the superselection structure in 1+1 dimensions typically does not arise from a group, the DR construction is applicable to `degenerate sectors', the existence of which (in the rational case) is equivalent to non-invertibility of Verlinde's S-matrix. We prove Rehren's conjecture that the enlarged theory is non-degenerate, which implies that every degenerate theory is an `orbifold' theory. Thus, the symmetry of a generic model `factorizes' into a group part and a pure quantum part which still must be clarified. | |
| dc.description | latex2e, 24 pages. Final version, to appear in Ann. Inst. H. Poinc. (Theor. Phys.). A serious gap in the proof of Prop. 2.3 has been filled in, but only under a rationality assumption. The main application to rational CQFTs is not affected, in fact strenghtened by the new Props. 3.8 and 3.14. Some remarks have been added | |
| dc.identifier | https://arxiv.org/abs/hep-th/9705018 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9705018 | |
| dc.identifier | Annales Poincare Phys.Theor. 71 (1999) 359-394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150667 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Charged Fields with Group Symmetry and Degeneracies of Verlinde's Matrix S | |
| dc.type | text |