Virasoro character identities from the Andrews--Bailey construction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages. Expanded version with new results

Scientific paper

10.1142/S0217751X97001110

We prove $q$-series identities between bosonic and fermionic representations
of certain Virasoro characters. These identities include some of the
conjectures made by the Stony Brook group as special cases. Our method is a
direct application of Andrews' extensions of Bailey's lemma to recently
obtained polynomial identities.

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