Akihito Yoneyama

activity

20182021

collaborators

4 papers

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…

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 $U_{q} (A_{n - 1}^{(1)})$