11 citations · 32 across the 5 of their papers we have counts for
5 papers
New solutions to the tetrahedron equation associated with quantized six-vertex models
Atsuo Kuniba, Shuichiro Matsuike, Akihito Yoneyama
We present a family of new solutions to the tetrahedron equation of the form , where operator may be regarded as a quantized six-vertex model whose Boltzmann weights…
Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps
Akihito Yoneyama
We established a method for obtaining set-theoretical solutions to the 3D reflection equation by using known ones to the Zamolodchikov tetrahedron equation, where the former equati…
Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras
Akihito Yoneyama
In this paper, we study transition matrices of PBW bases of the nilpotent subalgebra of quantum superalgebras associated with all possible Dynkin diagrams of type A and B in the ca…
Reflection matrices associated with an Onsager coideal of , , and
Atsuo Kuniba, Masato Okado, Akihito Yoneyama
We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra in the fundamental representations and $U_p(B^{(1)}_{n})…
Matrix product solution to the reflection equation associated with a coideal subalgebra of
Atsuo Kuniba, Masato Okado, Akihito Yoneyama
We present a new solution to the reflection equation associated with a coideal subalgebra of in the symmetric tensor representations and their dual. Elements o…