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Infinite-Length Limit of Spectral Curves and Inverse Scattering
Niklas Beisert, Kunal Gupta
Integrability equips models of theoretical physics with efficient methods for the exact construction of useful states and their evolution. Relevant tools for classical integrable f…
Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincaré
Niklas Beisert, Reimar Hecht, Ben Hoare
We show that the maximal extension sl(2) times psl(2|2) times C3 of the sl(2|2) superalgebra can be obtained as a contraction limit of the semi-simple superalgebra d(2,1;epsilon) t…
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…
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…
Construction of Lax Connections by Exponentiation
Niklas Beisert, Florian Luecker
We propose a method for constructing the Lax connection of two-dimensional relativistic integrable sigma models on coset spaces by means of exponentiation of a suitable operator. W…
A Quantum Affine Algebra for the Deformed Hubbard Chain
Niklas Beisert, Wellington Galleas, Takuya Matsumoto
The integrable structure of the one-dimensional Hubbard model is based on Shastry's R-matrix and the Yangian of a centrally extended sl(2|2) superalgebra. Alcaraz and Bariev have s…
The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
Niklas Beisert
The one-dimensional Hubbard model is an exceptional integrable spin chain which is apparently based on a deformation of the Yangian for the superalgebra gl(2|2). Here we investigat…