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- W1979825788 abstract "For p∈{3,4} and all p′>p, with p′ coprime to p, we obtain fermionic expressions for the combination χ 1, ,′ +q Δ χ −1, ,′ of Virasoro (W 2) characters for various values of s, and particular choices of Δ. Equating these expressions with known product expressions, we obtain q-series identities which are akin to the Andrews–Gordon identities. For p=3, these identities were conjectured by Bytsko. For p=4, we obtain identities whose form is a variation on that of the p=3 cases. These identities appear to be new. The case (p,p′)=(3,14) is particularly interesting because it relates not only to W 2, but also to W 3 characters, and offers W 3 analogues of the original Andrews–Gordon identities. Our fermionic expressions for these characters differ from those of Andrews et al. which involve Gaussian polynomials." @default.
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- W1979825788 date "2007-09-21" @default.
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- W1979825788 title "Andrews–Gordon type identities from combinations of Virasoro characters" @default.
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- W1979825788 doi "https://doi.org/10.1007/s11139-006-9011-7" @default.
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