Tetrahedron equation and cyclic quantum dilogarithm identities
Andrei Bytsko, Alexander Volkov
TL;DR
This paper develops a hierarchy of quantum dilogarithm identities linked to triangular quivers, utilizing the tetrahedron equation to establish new mathematical relationships in quantum algebra.
Contribution
It introduces a novel hierarchy of identities connected to quivers, leveraging the tetrahedron equation, advancing understanding in quantum dilogarithm theory.
Findings
Established a hierarchy of quantum dilogarithm identities
Connected tetrahedron equation with quiver-based identities
Provided new mathematical tools for quantum algebra
Abstract
We establish a hierarchy of quantum dilogarithm identities associated to a sequence of triangular shaped quivers. The tetrahedron equation plays a key role in our construction.
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