Quantum Dilogarithm Identities at Root of Unity

Published 18 Dec 2014 in math.QA and hep-th | (1412.5777v1)

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 $b=1$.

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