14 citations · 20 across the 2 of their papers we have counts for
12 papers
The hyperbolic modular double and the Yang-Baxter equation
D. Chicherin, V. P. Spiridonov
We construct a hyperbolic modular double -- an algebra lying in between the Faddeev modular double for and the elliptic modular double. The intertwining operator for th…
New elliptic solutions of the Yang-Baxter equation
D. Chicherin, S. E. Derkachov, V. P. Spiridonov
We consider finite-dimensional reductions of an integral operator with the elliptic hypergeometric kernel describing the most general known solution of the Yang-Baxter equation wit…
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
Dmitry Chicherin, Sergey E. Derkachov, Vyacheslav P. Spiridonov
We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of th…
The R-operator for Modular Double
D. Chicherin, S. Derkachov
We construct the R-operator -- solution of the Yang-Baxter equation acting in the tensor product of two infinite-dimensional representations of Faddeev's modular double. This R-ope…
Yang-Baxter operators and scattering amplitudes in super-Yang-Mills theory
D. Chicherin, S. Derkachov, R. Kirschner
Yangian symmetry of amplitudes in super Yang-Mills theory is formulated in terms of eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scatter…
Yangian symmetric correlators
D. Chicherin, R. Kirschner
Similarity transformations and eigenvalue relations of monodromy operators composed of Jordan-Schwinger type L matrices are considered and used to define Yangian symmetric correlat…