A class of partition functions associated with E τ,η gl3 by Izergin–Korepin analysis (Q3298963)

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English	A class of partition functions associated with <i>E</i> <i>τ</i>,<i>η</i> <i>gl</i>3 by Izergin–Korepin analysis	scientific article

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instance of

scholarly article

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title

A class of partition functions associated with E τ,η gl3 by Izergin–Korepin analysis (English)

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author

Kohei Motegi

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published in

Journal of Mathematical Physics

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publication date

16 July 2020

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full work available at URL

https://arxiv.org/abs/1909.06934

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zbMATH Keywords

partition functions of Foda-Manabe type

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Izergin-Korepin analysis

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MaRDI profile type

MaRDI publication profile

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Boxed plane partitions as an exactly solvable boson model

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Boxed skew plane partition and integrable phase model

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Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices

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Refined Cauchy/Littlewood identities and six-vertex model partition functions. II: Proofs and new conjectures

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Refined Cauchy/Littlewood identities and six-vertex model partition functions. III. Deformed bosons

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Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove

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Vertex models, TASEP and Grothendieck polynomials

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K-theoretic boson–fermion correspondence and melting crystals

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Quantum cohomology via vicious and osculating walkers

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Quantum integrability and generalised quantum Schubert calculus

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On a family of symmetric rational functions

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Symmetric elliptic functions, IRF models, and dynamic exclusion processes

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Higher spin six vertex model and symmetric rational functions

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Schur polynomials and the Yang-Baxter equation

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Symplectic Ice

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Metaplectic Whittaker Functions and Crystals of Type B

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Factorial Schur functions and the Yang-Baxter equation

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Combinatorial formulae for nested Bethe vectors

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Two elliptic height models with factorized domain wall partition functions

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Colour-independent partition functions in coloured vertex models

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Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

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On the Eigenfunctions for the Multi-species q-Boson System

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Coloured stochastic vertex models and their spectral theory

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A Yang-Baxter equation for metaplectic ice

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Colored five-vertex models and Demazure atoms

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Quantum Integrability and Supersymmetric Vacua

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Q2736299

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On representations of the elliptic quantum group $E_ \tau,\eta(sl_ 2)$

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Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta} (sl_2$)

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Calculation of norms of Bethe wave functions

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Q4705310

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Q4880965

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Symmetry classes of alternating-sign matrices under one roof

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Enumeration of symmetry classes of alternating sign matrices and characters of classical groups

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Square ice, alternating sign matrices, and classical orthogonal polynomials

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Thermodynamic limit of the six-vertex model with domain wall boundary conditions

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Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between ferroelectric and disordered phases

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Symplectic shifted tableaux and deformations of Weyl's denominator formula for $\text{sp}(2n)$

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U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration

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Determinant formula for the six-vertex model with reflecting end

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An Izergin-Korepin procedure for calculating scalar products in the six-vertex model

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The SOS model partition function and the elliptic weight functions

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An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices

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Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

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Scalar products of the open XYZ chain with non-diagonal boundary terms

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Multiple integral representation for the trigonometric SOS model with domain wall boundaries

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Reflection algebra and functional equations

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Integral formula for elliptic SOS models with domain walls and a reflecting end

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Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis

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$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations

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Elliptic Weight Functions and Elliptic q-KZ Equation

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Elliptic stable envelopes and finite-dimensional representations of elliptic quantum group

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Elliptic dynamical quantum groups and equivariant elliptic cohomology

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Elliptic and $K$-theoretic stable envelopes and Newton polytopes

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Elliptic stable envelopes

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Quantum groups and quantum cohomology

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Separation of variables for quantum integrable systems on elliptic curves

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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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Partition function of the eight-vertex lattice model

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An elliptic quantum algebra for $\widehat{\text{sl}}_ 2$

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Quasi-Hopf deformations of quantum groups

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An elliptic algebra $U_{q,p}(\widehat{\text{sl}_2})$ and the fusion RSOS model

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Quasi-Hopf twistors for elliptic quantum groups

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Exactly solvable SOS models. Local height probabilities and theta function identities

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The $A_ n^{(1)}$ face models

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Trigonometric weight functions as $K$-theoretic stable envelope maps for the cotangent bundle of a flag variety

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Identifiers

zbMATH Open document ID

1443.81041

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DOI

10.1063/1.5129567

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:3298963

A class of partition functions associated with <i>E</i> <i>τ</i>,<i>η</i> <i>gl</i>3 by Izergin–Korepin analysis (Q3298963)

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Identifiers

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Mathematics(1 entry)