20 citations · 38 across the 4 of their papers we have counts for
5 papers
A new construction of rational electromagnetic knots
Olaf Lechtenfeld, Gleb Zhilin
We set up a correspondence between solutions of the Yang-Mills equations on and in Minkowski spacetime via de Sitter space. Some known Abelian and non-Abeli…
G2 monopoles
Ya Shnir, G. Zhilin
We investigate some aspects of Bogomolny-Prasad-Sommerfield monopole solutions in the Yang-Mills-Higgs theory with exceptional gauge group spontaneously broken to $U(1)\times…
Gauged Hopfions
Ya. Shnir, G. Zhilin
We discuss the gauged version of the 3+1 dimensional Faddeev-Skyrme model supplemented by the Maxwell term. We show that there exist axially symmetric static solutions coupl…
Spontaneous symmetry breaking in dual-core baby-Skyrmion systems
Boris A. Malomed, Yakov Shnir, Gleb Zhilin
We introduce a system composed of two (2+1)-dimensional baby-skyrmion models (BSMs) set on parallel planes and linearly coupled by tunneling of fields. This system can be realized…
Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
Ya Shnir, G Zhilin
We discuss how an approximation to the axially symmetric sphalerons in the Skyrme model can be constructed from the holonomy of a non-BPS Yang-Mills calorons. These configurations,…