English

Quantum Dilogarithm Identities at Root of Unity

Quantum Algebra 2016-03-07 v1 High Energy Physics - Theory

Abstract

We study the root of unity degeneration of cluster algebras and quantum dilogarithm identities. We prove identities for the cyclic dilogarithm associated with a mutation sequence of a quiver, and as a consequence new identities for the non-compact quantum dilogarithm at b=1b=1.

Keywords

Cite

@article{arxiv.1412.5777,
  title  = {Quantum Dilogarithm Identities at Root of Unity},
  author = {Ivan Chi-Ho Ip and Masahito Yamazaki},
  journal= {arXiv preprint arXiv:1412.5777},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-22T07:36:32.983Z