Groundstate finite-size corrections and dilogarithm identities for the twisted A1(1) , A2(1) and A2(2) models

DOI10.1088/1742-5468/abdc17zbMath1504.82014arXiv2006.08233OpenAlexW3168272044MaRDI QIDQ4992294

Paul A. Pearce, Alexi Morin-Duchesne, Andreas Klümper

Publication date: 8 June 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08233

zbMATH Keywords

conformal field theorysolvable lattice modelsloop models and polymersintegrable spin chains and vertex models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Exactly solvable models; Bethe ansatz (82B23)

Related Items (2)

Fusion hierarchies, T-systems and Y-systems for the dilute A2(2) loop models on a strip ⋮ Dynamical spin chains in 4D \(\mathcal{N} = 2\) SCFTs

Uses Software

• Mathematica

Cites Work

• Characters of the \(W_{3}\) algebra
• Geometric exponents of dilute loop models
• Conformal weights of RSOS lattice models and their fusion hierarchies
• Conformal boundary conditions in the critical \({\mathcal O}(n)\) model and dilute loop models
• Quantum R matrix for the generalized Toda system
• Analytical calculation of scaling dimensions: Tricritical hard squares and critical hard hexagons
• On an algebraic approach to higher dimensional statistical mechanics
• Continued fraction TBA and functional relations in \(XXZ\) model at root of unity.
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Solution of functional equations of restricted \(A^{(1)}_{n-1}\) fused lattice models
• The representation theory of affine Temperley-Lieb algebras
• Modular properties of characters of the \(W_3\) algebra
• Order parameters of the dilute A models
• Exact solution of the \(\text{SU}_{q}(n)\)-invariant quantum spin chains
• Analytic theory of the eight-vertex model
• Partition function of the eight-vertex lattice model
• Critical behaviour of the dilute \(O(n)\), Izergin-Korepin and dilute \(A_L\) face models: Bulk properties
• FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
• FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS
• The principal indecomposable modules of the dilute Temperley-Lieb algebra
• The fully packed loop model as a non-rationalW₃conformal field theory
• A One-Parameter Family of Sequence Transformations
• T-systems andY-systems in integrable systems
• The diluteA_Lmodels and the Φ_1,2perturbation of unitary minimal CFTs
• Fusion hierarchies,T-systems, andY-systems of logarithmic minimal models
• The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the ground state
• The dilute Temperley–Lieb O(n  =  1) loop model on a semi infinite strip: the sum rule
• Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras
• Central charges of the 6- and 19-vertex models with twisted boundary conditions
• A new exactly solvable case of an O(n)-model on a hexagonal lattice
• Analytical Bethe ansatz for a A_2n-1⁽²⁾, B_n⁽¹⁾, C_n⁽¹⁾, D_n⁽¹⁾quantum-algebra-invariant open spin chains
• Critical behaviour of the fully packed loop model on the square lattice
• Operator spectrum and exact exponents of the fully packed loop model
• The diluteA_Lmodels and the integrable perturbations of unitary minimal CFTs
• Algebraic structure of translation-invariant spin-1/2xxzandq-Potts quantum chains
• Finite-size corrections and scaling dimensions of solvable lattice models: An analytic method
• New construction of solvable lattice models including an Ising model in a field
• Multi-colour braid-monoid algebras
• Logarithmic minimal models
• Fusion hierarchies,T-systems andY-systems for the ${A_2^{(1)}}$ models
• Extended T-systems, Q matrices and T-Q relations for $ \newcommand{\e}{{\rm e}} s\ell(2)$ models at roots of unity
• Fusion hierarchies, T-systems and Y-systems for the dilute $\boldsymbol{A_2^{(2)}}$ loop models
• Geometric exponents, SLE and logarithmic minimal models
• Non compact conformal field theory and the $a_2^{(2)}$ (Izergin–Korepin) model in regime III
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
• The spin-S XXZ quantum chain with general toroidal boundary conditions
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
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