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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…