Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras

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 ex...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2012-12, Vol.8, p.104
Main Author: Nakanishi, Tomoki
Format: Article
Language:English
Subjects:
dilogarithm
double affine Hecke algebra
Y-system
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2012.104