55 citations
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30 papers
Solitons and exotic instantons
E. K. Loginov
In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations . Using various designs of such…
Exotic instantons in eight dimensions
E. K. Loginov, E. D. Loginova
In this paper, we study the (anti-)self-duality equations in the eight-dimensional Euclidean space. Using properties of the Clifford algebra $Cl_{0,8…
Certain residual properties of generalized Baumslag-Solitar groups
E. V. Sokolov
Let be a generalized Baumslag-Solitar group and be a class of groups containing at least one non-unit group and closed under taking subgroups, extensions, and Car…
Nonassociative gauge fields
E. K. Loginov
In this paper, we study the consequences of the assumption that the gauge group of the standard model is a nonassociative image of . Such an approach allows us to…
Octonionic instantons in eight dimensions
E. K. Loginov
In this letter, we study the instanton moduli space of the eight-dimensional solutions of the self-duality equation . Using the known ADHM-construction o…
Polymer chain collapse induced by many-body dipole correlations
Yu. A. Budkov, N. N. Kalikin, A. L. Kolesnikov
We present a simple analytical theory of flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the di…