Conformal Field Theory Applied to Loop Models

DOI10.1007/978-1-4020-9927-4_14zbMath1180.82028OpenAlexW2116568271WikidataQ58082330 ScholiaQ58082330MaRDI QIDQ3651690

Jesper Lykke Jacobsen

Publication date: 11 December 2009

Published in: Polygons, Polyominoes and Polycubes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9927-4_14

zbMATH Keywords

conformal field theorycritical phenomenaIsing modelsix-vertex modelloop models

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Statistical mechanics of polymers (82D60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (14)

Duality between spin networks and the 2D Ising model ⋮ \(U_{\mathfrak{q}}(\mathfrak{sl}_3)\) web models: locality, phase diagram and geometrical defects ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute A2(2) loop models on a strip ⋮ Conformal boundary conditions in the critical \({\mathcal O}(n)\) model and dilute loop models ⋮ Conformal field theory at central charge \(c=0\): a measure of the indecomposability \((b)\) parameters ⋮ Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ Non compact continuum limit of two coupled Potts models ⋮ A new look at the collapse of two-dimensional polymers ⋮ The action of the Virasoro algebra in quantum spin chains. I: The non-rational case ⋮ Entropy-driven phase transition in low-temperature antiferromagnetic Potts models ⋮ Uq(sln) web models and Zn spin interfaces ⋮ Geometric algebra and algebraic geometry of loop and Potts models ⋮ Watermelons on the half-plane ⋮ Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder

Cites Work

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