Volkov pentagon for the modular quantum dilogarithm

DOI10.1007/s10688-011-0031-8zbMath1271.33001arXiv1201.6464OpenAlexW2038983900MaRDI QIDQ366325

Ludvig Faddeev

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6464

zbMATH Keywords

quantum dilogarithm\(q\)-exponentialpentagon equations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Higher logarithm functions (33B30)

Related Items (7)

On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines ⋮ Theta series, wall-crossing and quantum dilogarithm identities ⋮ Exact Chern-Simons / topological string duality ⋮ Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey ⋮ Universal Chern-Simons partition functions as quadruple Barnes' gamma-functions ⋮ Pentagon identities arising in supersymmetric gauge theory computations ⋮ Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states

Cites Work

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• Discrete Heisenberg-Weyl group and modular group
• QUANTUM DILOGARITHM
• Pentagon Identity Revisited
• Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
• Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)

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