Lechner, Gandalf  ORCID: https://orcid.org/0000-0002-8829-3121 and Scotford, Charley
2020.
Fock representations of ZF algebras and R-matrices.
Letters in Mathematical Physics
110
, pp. 1623-1643.
10.1007/s11005-020-01271-3
|
Preview |
PDF
- Published Version
Available under License Creative Commons Attribution. Download (402kB) | Preview |
Official URL: https://doi.org/10.1007/s11005-020-01271-3
Abstract
A variation of the Zamolodchikov–Faddeev algebra over a finite-dimensional Hilbert space H and an involutive unitary R-Matrix S is studied. This algebra carries a natural vacuum state, and the corresponding Fock representation spaces FS(H) are shown to satisfy FS⊞R(H⊕K)≅FS(H)⊗FR(K), where S⊞R is the box-sum of S (on H⊗H) and R (on K⊗K). This analysis generalises the well-known structure of Bose/Fermi Fock spaces and a recent result of Pennig. These representations are motivated from quantum field theory (short-distance scaling limits of integrable models).
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Springer Verlag (Germany) |
| ISSN: | 0377-9017 |
| Date of First Compliant Deposit: | 9 March 2020 |
| Date of Acceptance: | 12 February 2020 |
| Last Modified: | 06 Jan 2024 04:24 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/130191 |
Actions (repository staff only)
 |
Edit Item |
Dimensions
Dimensions