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5 papers · 2 filters
The Onsager algebra and multivariable special functions
Pascal Baseilhac, Luc Vinet, Alexei Zhedanov
Two sets of mutually commuting difference operators and , such that and generate a homomorphic image of the Onsager algebra for each $…
Non-Abelian symmetries of the half-infinite XXZ spin chain
Pascal Baseilhac, Samuel Belliard
The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an ana…
Duality and helicity: a symplectic viewpoint
M. Elbistan, C. Duval, P. A. Horvathy +1
The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infi…
Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
P. Gavrylenko, O. Lisovyy
We derive Fredholm determinant representation for isomonodromic tau functions of Fuchsian systems with regular singular points on the Riemann sphere and generic monodromy in $\…
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Azat M. Gainutdinov, Rafael I. Nepomechie
For generic values of q, all the eigenvectors of the transfer matrix of the U_q sl(2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic…