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Mathematics > Quantum Algebra

arXiv:math/0002100 (math)
[Submitted on 12 Feb 2000]

Title:On the combinatorics of Forrester-Baxter models

Authors:Omar Foda, Trevor A. Welsh
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Abstract: We provide further boson-fermion q-polynomial identities for the `finitised' Virasoro characters \chi^{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 \chi^{p, p'}_{a, b, c}(L) provides a finitisation of \chi^{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.
Comments: 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
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Combinatorics (math.CO)
Cite as: arXiv:math/0002100 [math.QA]
  (or arXiv:math/0002100v1 [math.QA] for this version)
  https://doi.org/10.48550/arXiv.math/0002100
Journal reference: Physical combinatorics (Kyoto, 1999), 49--103, Progr. Math,. 191, Birkhauser, Boston, MA, 2000.

Submission history

From: Omar Foda [view email]
[v1] Sat, 12 Feb 2000 23:30:54 UTC (59 KB)
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