Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer`s polynomial identities

Journal Article · Mon Jul 01 00:00:00 EDT 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02179577· OSTI ID:468998

Warnaar, S O ^[1]

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1. Univ. of Melbourne, Parkville, Victoria (Australia)

We compute the one-dimensional configuration sums of the AFB model using the fermionic techniques introduced in part I of this paper. Combined with the results of Andrews, Baxter, and Forrester, we prove polynominal identities for finitizations of the Virasoro characters {sub {chi}b, a}{sup (r-1, r)}(q) as conjectured by Melzer. In the thermodynamic limit these identities reproduce Rogers-Ramanujan-type identities for the unitary minimal Virasoro characters conjectured by the Stony Brook group. We also present a list of additional Virasoro character identities which follow from our proof of Melzer`s identities and application of Bailey`s lemma.

• Sponsoring Organization: USDOE
• OSTI ID: 468998
• Journal Information: Journal of Statistical Physics, Vol. 84, Issue 1-2; Other Information: PBD: Jul 1996
• Country of Publication: United States
• Language: English

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