Akihito Yoneyama

activity

20182022

most citedNew solutions to the tetrahedron equation associated with quantized six-vertex models

8 citations · 8 across the 1 of their papers we have counts for

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math-ph2022★ 8 cited

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 $R LLL = LLL R$ , where $L$ operator may be regarded as a quantized six-vertex model whose Boltzmann weights…

math-ph2021

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…

math-ph2021

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…

math-ph2019

Reflection $K$ matrices associated with an Onsager coideal of $U_{p} (A_{n - 1}^{(1)})$ , $U_{p} (B_{n}^{(1)})$ , $U_{p} (D_{n}^{(1)})$ and $U_{p} (D_{n + 1}^{(2)})$

Atsuo Kuniba, Masato Okado, Akihito Yoneyama

We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra $U_{p} (A_{n - 1}^{(1)})$ in the fundamental representations and $U_p(B^{(1)}_{n})…

math-ph2018

Matrix product solution to the reflection equation associated with a coideal subalgebra of $U_{q} (A_{n - 1}^{(1)})$

Atsuo Kuniba, Masato Okado, Akihito Yoneyama

We present a new solution to the reflection equation associated with a coideal subalgebra of $U_{q} (A_{n - 1}^{(1)})$ in the symmetric tensor representations and their dual. Elements o…

New solutions to the tetrahedron equation associated with quantized six-vertex models

Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps

Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras

Reflection K matrices associated with an Onsager coideal of Up​(An−1(1)​), Up​(Bn(1)​), Up​(Dn(1)​) and Up​(Dn+1(2)​)

Matrix product solution to the reflection equation associated with a coideal subalgebra of Uq​(An−1(1)​)

Reflection $K$ matrices associated with an Onsager coideal of $U_{p} (A_{n - 1}^{(1)})$ , $U_{p} (B_{n}^{(1)})$ , $U_{p} (D_{n}^{(1)})$ and $U_{p} (D_{n + 1}^{(2)})$

Matrix product solution to the reflection equation associated with a coideal subalgebra of $U_{q} (A_{n - 1}^{(1)})$