DOI10.1007/BF00626526zbMath0721.58025OpenAlexW2012935914MaRDI QIDQ2640960
J. Harnad, Malcolm R. Adams, Jacques Hurtubise
Publication date: 1990
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00626526
Spectrum of quantum transfer matrices via classical many-body systems ⋮
BPS states in the \(\Omega\)-background and torus knots ⋮
Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY ⋮
New factorization of the Kaup-Newell hierarchy ⋮
Dual isomonodromic deformations and moment maps to loop algebras ⋮
Integrable cluster dynamics of directed networks and pentagram maps ⋮
Quiver ${\text{W}}_{{\boldsymbol{{\epsilon}}}_{\mathbf{1}},{\boldsymbol{{\epsilon}}}_{\mathbf{2}}}$ algebras of 4D $\boldsymbol{\mathcal{N}}\mathbf{=}\mathbf{2}$ gauge theories ⋮
The bi-Hamiltonian structure for the restricted flows of the Boussinesq and the modified Boussinesq equation ⋮
Harmonics on hyperspheres, separation of variables and the Bethe ansatz ⋮
Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables ⋮
Geometric quantization of Neumann-type completely integrable Hamiltonian systems ⋮
Multiscale \(N=2\) SUSY field theories, integrable systems and their stringy/brane origin ⋮
Lax-type flows on Grassmann manifolds and dual momentum mappings ⋮
Simply-laced isomonodromy systems ⋮
Middle convolution and Harnad duality ⋮
Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two ⋮
The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮
Hamiltonian structure of rational isomonodromic deformation systems ⋮
Spectral duality between Heisenberg chain and Gaudin model ⋮
R-matrix construction of electromagnetic models for the Painlevé transcendents ⋮
Modifications of bundles, elliptic integrable systems, and related problems ⋮
Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices ⋮
Fermionic construction of tau functions and random processes ⋮
\((\mathfrak{gl}_M, \mathfrak{gl}_N)\)-dualities in Gaudin models with irregular singularities ⋮
Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases ⋮
Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems ⋮
Generalized tops and moment maps to loop algebras ⋮
BPS states in omega background and integrability ⋮
Matrix nonlinear Schrödinger equations and moment maps into loop algebras ⋮
On the integrability of four dimensional \( \mathcal{N}=2 \) gauge theories in the omega background ⋮
Spectral dualities in XXZ spin chains and five dimensional gauge theories ⋮
Spectral curve duality beyond the two-matrix model ⋮
Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices ⋮
Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations ⋮
Sheaves on ℙ¹×ℙ¹, bigraded resolutions, and coadjoint orbits of loop groups ⋮
Relativistic elliptic matrix tops and finite Fourier transformations ⋮
Darboux coordinates and Liouville-Arnold integration in loop algebras
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