Virasoro character identities from the Andrews--Bailey construction

Abstract

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.

22 pages. Expanded version with new results

References in corpus (4)

• Dilogarithm Identities in Conformal Field Theory
• Fermionic Character Sums and the Corner Transfer Matrix
• Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz
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