DOI10.1088/0305-4470/38/48/L02zbMath1078.81037arXivmath-ph/0508059OpenAlexW2108491571MaRDI QIDQ5714957
Philippe Di Francesco, Paul Zinn-Justin
Publication date: 16 December 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0508059
Quiver varieties and the quantum Knizhnik-Zamolodchikov equation ⋮
Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomials ⋮
Loop models and \(K\)-theory ⋮
Characteristic classes of Borel orbits of square-zero upper-triangular matrices ⋮
Twenty-vertex model with domain wall boundaries and domino tilings ⋮
Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder: II. Rotated lattice ⋮
Grassmann-Grassmann conormal varieties, integrability, and plane partitions ⋮
The fully packed loop model as a non-rationalW3conformal field theory ⋮
On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮
The Brauer loop scheme and orbital varieties ⋮
Extended Joseph polynomials, quantized conformal blocks, and a \(q\)-Selberg type integral ⋮
Deformed Kazhdan-Lusztig elements and Macdonald polynomials ⋮
Combinatorial point for fused loop models ⋮
On some ground state components of the O(1) loop model ⋮
The exact finite size ground state of the O(n= 1) loop model with open boundaries ⋮
Symmetry classes of alternating sign matrices in a nineteen-vertex model ⋮
Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices ⋮
On polynomials interpolating between the stationary state of a \(O (n)\) model and a Q.H.E. ground state ⋮
Higher spin polynomial solutions of quantum Knizhnik-Zamolodchikov equation ⋮
A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux ⋮
Boundary qKZ equation and generalized Razumov–Stroganov sum rules for open IRF models ⋮
Punctured plane partitions and the \(q\)-deformed Knizhnik-Zamolodchikov and Hirota equations ⋮
Fully Packed Loop Models on Finite Geometries ⋮
Totally symmetric self-complementary plane partitions and the quantum Knizhnik–Zamolodchikov equation: a conjecture ⋮
Loop model with mixed boundary conditions,qKZ equation and alternating sign matrices ⋮
Open boundary quantum Knizhnik–Zamolodchikov equation and the weighted enumeration of plane partitions with symmetries ⋮
Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics ⋮
The Razumov–Stroganov conjecture: stochastic processes, loops and combinatorics ⋮
Boundary transfer matrices and boundary quantum KZ equations ⋮
Koornwinder polynomials and the \(XXZ\) spin chain ⋮
Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder
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