Quantum Dilogarithm Identities at Root of Unity
classification
🧮 math.QA
hep-th
keywords
dilogarithmidentitiesquantumrootunityalgebrasassociatedcluster
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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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