Note on dilogarithm identities from nilpotent double affine Hecke algebras

Abstract

Recently Cherednik and Feigin 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.

5 pages; v2: Section 4 added, journal version in SIGMA

References in corpus (2)

• R-Twisting and 4d/2d Correspondences
• Rogers-Ramanujan type identities and Nil-DAHA