Integrable Lattice Models for Conjugate $A^{(1)}_n$
| dc.creator | Behrend, Roger E. | |
| dc.creator | Evans, David E. | |
| dc.date | 2003-09-06 | |
| dc.date | 2004-03-27 | |
| dc.date.accessioned | 2026-07-07T10:49:44Z | |
| dc.date.available | 2026-07-07T10:49:44Z | |
| dc.description | A new class of $A^{(1)}_n$ integrable lattice models is presented. These are interaction-round-a-face models based on fundamental nimrep graphs associated with the $A^{(1)}_n$ conjugate modular invariants, there being a model for each value of the rank and level. The Boltzmann weights are parameterized by elliptic theta functions and satisfy the Yang-Baxter equation for any fixed value of the elliptic nome q. At q=0, the models provide representations of the Hecke algebra and are expected to lead in the continuum limit to coset conformal field theories related to the $A^{(1)}_n$ conjugate modular invariants. | |
| dc.description | 18 pages. v2: minor changes, such as page 11 footnote | |
| dc.identifier | https://arxiv.org/abs/hep-th/0309068 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0309068 | |
| dc.identifier | J.Phys.A37:2937-2948,2004 | |
| dc.identifier | doi:10.1088/0305-4470/37/8/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184321 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Integrable Lattice Models for Conjugate $A^{(1)}_n$ | |
| dc.type | text |