Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
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چکیده
Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers–Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, some of which are known, while some are left conjectural. We confirm and explain all of them by showing the connection with Y -systems associated with (untwisted and twisted) quantum affine Kac–Moody algebras.
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تاریخ انتشار 2012