Open boundary quantum Knizhnik–Zamolodchikov equation and the weighted enumeration of plane partitions with symmetries

DOI10.1088/1742-5468/2007/01/P01024zbMath1456.82245arXivmath-ph/0611012OpenAlexW3104233238MaRDI QIDQ5239324

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Publication date: 22 October 2019

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

Full work available at URL: https://arxiv.org/abs/math-ph/0611012

zbMATH Keywords

algebraic structures of integrable modelsloop models and polymerstopology and combinatorics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (6)

Multiply-refined enumeration of alternating sign matrices ⋮ On the weighted enumeration of alternating sign matrices and descending plane partitions ⋮ Punctured plane partitions and the \(q\)-deformed Knizhnik-Zamolodchikov and Hirota equations ⋮ Fully Packed Loop Models on Finite Geometries ⋮ Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics ⋮ The Razumov–Stroganov conjecture: stochastic processes, loops and combinatorics

Cites Work

• Unnamed Item
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• Calculation of norms of Bethe wave functions
• Gröbner geometry of Schubert polynomials
• \(O(1)\) loop model with different boundary conditions and symmetry classes of alternating-sign matrices
• Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties
• Descending plane partitions and rhombus tilings of a hexagon with a triangular hole
• Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices
• Binomial determinants, paths, and hook length formulae
• Enumeration of a symmetry class of plane partitions
• Advanced determinant calculus
• Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
• On polynomials interpolating between the stationary state of a \(O (n)\) model and a Q.H.E. ground state
• Quantum incompressibility and Razumov Stroganov type conjectures
• Combinatorial nature of the ground-state vector of the \(\mathrm{O}(1)\) loop model
• The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
• A refined Razumov–Stroganov conjecture
• Temperley Lieb stochastic processes
• Totally symmetric self-complementary plane partitions and the quantum Knizhnik–Zamolodchikov equation: a conjecture
• Inhomogeneous loop models with open boundaries
• On the Vector Representations of Induced Matroids
• The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials
• Enumeration of Lozenge tilings of hexagons with a central triangular hole

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