Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model

DOI10.1155/2017/7563781zbMath1403.82006arXiv1704.03575OpenAlexW2660790444WikidataQ59142467 ScholiaQ59142467MaRDI QIDQ1798484

Kohei Motegi

Publication date: 23 October 2018

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

Full work available at URL: https://arxiv.org/abs/1704.03575

zbMATH Keywords

six-vertex modelIzergin-Korepin analysis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Scalar products of the elliptic Felderhof model and elliptic Cauchy formula ⋮ Colored fermionic vertex models and symmetric functions ⋮ Free fermionic Schur functions ⋮ Free fermion six vertex model: symmetric functions and random domino tilings ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions ⋮ Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end

Cites Work

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• Quantum cohomology via vicious and osculating walkers
• Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions
• Refined Cauchy/Littlewood identities and six-vertex model partition functions. II: Proofs and new conjectures
• Schur polynomials and the Yang-Baxter equation
• An Izergin-Korepin procedure for calculating scalar products in the six-vertex model
• Alternating sign matrices and some deformations of Weyl's denominator formulas
• Hall polynomials, inverse Kostka polynomials and puzzles
• On a family of symmetric rational functions
• Calculation of norms of Bethe wave functions
• Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
• The six-vertex model and deformations of the Weyl character formula
• The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The generating function of strict Gelfand patterns and some formulas on characters of general linear groups
• Dual wavefunction of the symplectic ice
• Symplectic shifted tableaux and deformations of Weyl's denominator formula for \(\text{sp}(2n)\)
• Dual wavefunction of the Felderhof model
• A Yang-Baxter equation for metaplectic ice
• U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration
• Refined Cauchy/Littlewood identities and six-vertex model partition functions. III. Deformed bosons
• Vertex models, TASEP and Grothendieck polynomials
• Determinant representation of correlation functions for the Uq(gl(1∣1)) free Fermion model
• Supersymmetric vertex models with domain wall boundary conditions
• Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis
• Determinant formula for the six-vertex model with reflecting end
• Metaplectic Whittaker Functions and Crystals of Type B
• Symplectic Ice
• Factorial Schur functions and the Yang-Baxter equation
• Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice