Fermionic solution of the Andrews-Baxter-Forrester model II: proof of Melzer’s polynomial identities
نویسنده
چکیده
We compute the one-dimensional configuration sums of the ABF model using the fermionic technique introduced in part I of this paper. Combined with the results of Andrews, Baxter and Forrester, we find proof of polynomial identities for finitizations of the Virasoro characters χ (r−1,r) b,a (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.
منابع مشابه
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تاریخ انتشار 1995