Quantum Chains of Hopf Algebras with Order-Disorder Fields and Quantum Double Symmetry
| dc.creator | Nill, Florian | |
| dc.creator | Szlachanyi, Kornel | |
| dc.date | 1995-07-31 | |
| dc.date.accessioned | 2026-07-07T04:21:21Z | |
| dc.date.available | 2026-07-07T04:21:21Z | |
| dc.description | Given a finite dimensional C-*-Hopf algebra H and its dual H^ we construct the infinite crossed product A=... x H x H^ x H x ... and study its representations. A is the observable algebra of a generalized spin model with H-order and H^-disorder symmetries. By pointing out that A possesses a certain compressibility property we can classify all DHR-sectors of A --- relative to some Haag dual vacuum representation --- and prove that their symmetry is described by the Drinfeld double D(H). Complete, irreducible, translation covariant field algebra extensions F > A are shown to be in one-to-one correspondence with cohomology classes of 2-cocycles u in D(H) @ D(H). | |
| dc.description | 40 pages, plain TEX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9507174 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9507174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54285 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Chains of Hopf Algebras with Order-Disorder Fields and Quantum Double Symmetry | |
| dc.type | text |