On the combinatorics of Forrester-Baxter models
| dc.creator | Foda, Omar | |
| dc.creator | Welsh, Trevor A. | |
| dc.date | 2000-02-12 | |
| dc.date.accessioned | 2026-07-07T07:37:19Z | |
| dc.date.available | 2026-07-07T07:37:19Z | |
| dc.description | We provide further boson-fermion q-polynomial identities for the `finitised' Virasoro characters χ^{p, p'}_{r,s} of the Forrester-Baxter minimal models M(p, p'), for certain values of r and s. The construction is based on a detailed analysis of the combinatorics of the set P^{p, p'}_{a, b, c}(L) of q-weighted, length-L Forrester-Baxter paths, whose generating function χ^{p, p'}_{a, b, c}(L) provides a finitisation of χ^{p, p'}_{r,s}. In this paper, we restrict our attention to the case where the startpoint a and endpoint b of each path both belong to the set of Takahashi lengths. In the limit L -> infinity, these polynomial identities reduce to q-series identities for the corresponding characters. | |
| dc.description | 63 pages, figures in eps format, LaTex, uses included Birkhauser macro, to appear in proceedings of "Physical Combinatorics", held in Kyoto, Japan, Jan/Feb 1999 | |
| dc.identifier | https://arxiv.org/abs/math/0002100 | |
| dc.identifier | http://arxiv.org/abs/math/0002100 | |
| dc.identifier | Physical combinatorics (Kyoto, 1999), 49--103, Progr. Math,. 191, Birkhauser, Boston, MA, 2000. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120735 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Combinatorics | |
| dc.title | On the combinatorics of Forrester-Baxter models | |
| dc.type | text |