158 citations · 1.3k across the 43 of their papers we have counts for
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The quantum group structure of long-range integrable deformations
Koen Schouten, Marius de Leeuw
Quantum integrable spin chains are known to possess a large family of long-range deformations generated by the local, boost and bilocal operators. Although these deformations are w…
All 4 x 4 solutions of the quantum Yang-Baxter equation
Marius de Leeuw, Vera Posch
In this paper, we complete the classification of 4 x 4 solutions of the Yang-Baxter equation. Regular solutions were recently classified and in this paper we find the remaining non…
Maximally extended sl(2|2) as a quantum double
Niklas Beisert, Marius de Leeuw, Reimar Hecht
We derive the universal R-matrix of the quantum-deformed enveloping algebra of centrally extended sl(2|2) using Drinfeld's quantum double construction. We are led to enlarging the…
An algebraic approach to the Hubbard model
Marius de Leeuw, Vidas Regelskis
We study the algebraic structure of an integrable Hubbard-Shastry type lattice model associated with the centrally extended su(2|2) superalgebra. This superalgebra underlies Beiser…
Fusion for the one-dimensional Hubbard model
Niklas Beisert, Marius de Leeuw, Panchali Nag
We discuss a formulation of the fusion procedure for integrable models which is suitable for application to non-standard R-matrices. It allows for construction of bound state R-mat…
The RTT-Realization for the Deformed gl(2|2) Yangian
Niklas Beisert, Marius de Leeuw
In this paper we work out the RTT-realization for the Yangian algebra of the Hubbard model and AdS/CFT correspondence. We find that this Yangian algebra is of a non-standard type i…
Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain
Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis
We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y=0 giant graviton in the AdS/CFT co…
The Bound State S-matrix of the Deformed Hubbard Chain
Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis
In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine th…