Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion Algebra into Cuntz Algebra ---
| dc.creator | Abe, Mitsuo | |
| dc.creator | Kawamura, Katsunori | |
| dc.date | 2001-10-01 | |
| dc.date.accessioned | 2026-07-07T04:28:40Z | |
| dc.date.available | 2026-07-07T04:28:40Z | |
| dc.description | Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra ${\cal O}_2$ (or ${\cal O}_{2d}$ more generally) are presented by using recursive constructions. As a typical example, an embedding of CAR onto the U(1)-invariant subalgebra of ${\cal O}_2$ is constructed explicitly. Generalizing this construction to the case of ${\cal O}_{2^p}$, an embedding of CAR onto the U(1)-invariant subalgebra of ${\cal O}_{2^p}$ is obtained. Restricting a permutation representation of the Cuntz algebra, we obtain the Fock representation of CAR. We apply the results to embed the algebra of parafermions of order $p$ into ${\cal O}_{2^p}$ according to the Green's ansatz. | |
| dc.description | 14 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math-ph/0110003 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0110003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56876 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | 81R15 (Primary) 46L60 (Secondary) | |
| dc.title | Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion Algebra into Cuntz Algebra --- | |
| dc.type | text |