QUANTUM DILOGARITHM
Copyright policy )QUANTUM DILOGARITHM
A quantum generalization of Rogers’ five-term, or “pentagon” dilogarithm identity is suggested. It is shown that the classical limit gives the usual Rogers’ identity. The case where the quantum identity is realized in finite-dimensional space is also considered and the quantum dilogarithm is constructed as a function on Fermat curve, while the identity itself is equivalent to the restricted star-triangle relation introduced by Bazhanov and Baxter.
- University of Helsinki Finland
High Energy Physics - Theory, Elementary classical functions, star-triangle relation, dilogarithm identity, Miscellaneous applications of number theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantum Euler dilogarithm, quantum identity, Quantum groups and related algebraic methods applied to problems in quantum theory, Exactly solvable models; Bethe ansatz
High Energy Physics - Theory, Elementary classical functions, star-triangle relation, dilogarithm identity, Miscellaneous applications of number theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantum Euler dilogarithm, quantum identity, Quantum groups and related algebraic methods applied to problems in quantum theory, Exactly solvable models; Bethe ansatz
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