The fully packed loop model as a non-rationalW3conformal field theory

DOI10.1088/1751-8113/49/50/505202zbMath1357.81151arXiv1606.05376OpenAlexW2421371258MaRDI QIDQ2960270

Yacine Ikhlef, Thomas Dupic, Benoit Estienne

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1606.05376

zbMATH Keywords

conformal field theoryintegrable lattice models\(W\)-algebraloop models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Applications of selfadjoint operator algebras to physics (46L60) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (10)

\(U_{\mathfrak{q}}(\mathfrak{sl}_3)\) web models: locality, phase diagram and geometrical defects ⋮ The imaginary Toda field theory ⋮ Three-point functions in the fully packed loop model on the honeycomb lattice ⋮ The analytic bootstrap equations of non-diagonal two-dimensional CFT ⋮ Rigid Fuchsian systems in 2-dimensional conformal field theories ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute $\boldsymbol{A_2^{(2)}}$ loop models ⋮ Dynamical spin chains in 4D \(\mathcal{N} = 2\) SCFTs ⋮ Uq(sln) web models and Zn spin interfaces ⋮ Groundstate finite-size corrections and dilogarithm identities for the twisted A1(1) , A2(1) and A2(2) models ⋮ Fusion hierarchies,T-systems andY-systems for the ${A_2^{(1)}}$ models

Cites Work

• Correlation functions in conformal Toda field theory. I
• The \(W_N\) minimal model classification
• Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
• Quantum R matrix for the generalized Toda system
• Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
• The classification of affine \(SU(3)\) modular invariant partition functions
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• From CFT to graphs
• Lattice W-algebras and logarithmic CFTs
• Integrability and conformal data of the dimer model
• On three-point connectivity in two-dimensional percolation
• Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras
• A new exactly solvable case of an O(n)-model on a hexagonal lattice
• Operator spectrum and exact exponents of the fully packed loop model
• Solvable lattice models labelled by Dynkin diagrams
• The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials
• The spin-S XXZ quantum chain with general toroidal boundary conditions
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions
• Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator

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