Remarks on the quantum dilogarithm

DOI10.1088/0305-4470/28/8/014zbMath0876.17035OpenAlexW2079206826MaRDI QIDQ4716548

Nicolai Reshetikhin, Vladimir V. Bazhanov

Publication date: 26 November 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/8/014

zbMATH Keywords

quantum dilogarithmsolvable lattice modelsdilogarithm identityrestricted star-triangle relation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23) Elementary classical functions (33B99)

Related Items (10)

Integrability as duality: the gauge/YBE correspondence ⋮ Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds ⋮ An elliptic parameterisation of the Zamolodchikov model ⋮ 3D symplectic map ⋮ Quantum computation and real multiplication ⋮ Geometry of quadrilateral nets: second Hamiltonian form ⋮ Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function ⋮ On the fundamental \(L\) operator for the quantum lattice \(W\) algebra. ⋮ On matrix generalizations of the dilogarithm ⋮ The pentagon equation and mapping-class groups of punctured surfaces

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