Dilogarithm identities in conformal field theory and group homology

DOI10.1007/BF02099777zbMath0799.55004arXivhep-th/9303111MaRDI QIDQ1325584

Johan L. Dupont, Chih-Han Sah

Publication date: 20 November 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9303111

zbMATH Keywords

dilogarithmconformal field theoryalgebraic \(K\)-theoryhyperbolic 3-manifoldslattice modelprojective special linear groupintegral homology

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Homological methods in group theory (20J05) Characteristic classes and numbers in differential topology (57R20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Higher logarithm functions (33B30)

Related Items (8)

Extended Bloch group and the Cheeger-Chern-Simons class ⋮ An invariant of triangulated links from the quantum dilogarithm ⋮ Perturbations of the Spence-Abel equation and deformations of the dilogarithm function ⋮ HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS ⋮ Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case ⋮ A framework of Rogers-Ramanujan identities and their arithmetic properties ⋮ On matrix generalizations of the dilogarithm ⋮ A TOPOLOGICAL INVARIANT OF RG FLOWS IN 2D INTEGRABLE QUANTUM FIELD THEORIES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dilogarithm as a characteristic class for flat bundles
• Third homology of \(\mathrm{SL}(2,\mathbb R)\) made discrete
• Conformal weights of RSOS lattice models and their fusion hierarchies
• On the homology of Lie groups made discrete
• Cohomology of classifying spaces of complex Lie groups and related discrete groups
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• The Yang-Baxter equations and the Zamolodchikov model
• Homology of classical Lie groups made discrete. II: \(H_ 2\), \(H_ 3\), and relations with scissors congruences
• Infinite conformal symmetry in two-dimensional quantum field theory
• Scissors congruences. II
• Explicit weight two motivic cohomology complexes and algebraic \(K\)- theory
• Identities for the Rogers dilogarithm function connected with simple Lie algebras
• Geometry in Grassmannians and a generalization of the dilogarithm
• CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY
• MAGNETIC MONOPOLES AND THE YANG-BAXTER EQUATIONS
• THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY

This page was built for publication: Dilogarithm identities in conformal field theory and group homology