323 citations · 2.2k across the 48 of their papers we have counts for
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Almost local integrable models from supersymmetry algebras
Somnath Maity, Pramod Padmanabhan, Jarmo Hietarinta +1
Supersymmetry algebras can be used to obtain algebraic expressions for constant Yang-Baxter solutions, also known as braid group generators. This was done for non-invertible braid…
Unwinding in Hopfion vortex bunches
Juha Jäykkä, Jarmo Hietarinta
We investigate the behaviour of parallel Faddeev-Hopf vortices under energy minimization in a system with physically relevant, but unusual boundary conditions. The homotopy classif…
Faddeev-Hopf knots: Dynamics of linked un-knots
Jarmo Hietarinta, Petri Salo
We have studied numerically Faddeev-Hopf knots, which are defined as those unit-vector fields in that have a nontrivial Hopf charge and minimize Faddeev's Lagrangian. A given…
Labeling Schemes for Tetrahedron Equations and Dualities between Them
Jarmo Hietarinta
Zamolodchikov's tetrahedron equations, which were derived by considering the scattering of straight strings, can be written in three different labeling schemes: one can use as labe…
Some Constant Solutions to Zamolodchikov's Tetrahedron Equations
J. Hietarinta
In this letter we present constant solutions to the tetrahedron equations proposed by Zamolodchikov. In general, from a given solution of the Yang-Baxter equation there are two way…
The complete solution to the constant quantum Yang-Baxter equation in two dimensions
J. Hietarinta
We describe how the complete solution to the two-dimensional constant quantum Yang-Baxter equation [J. Hietarinta, Phys. Lett. A165,245(1992)] was found. (Talk presented at the XIX…