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16 papers · 1 filter
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…
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…
Yang-Mills like instantons in eight and seven dimensions
E. K. Loginov, E. D. Loginova
We consider a gauge theory in which a nonassociative Moufang loop takes the place of a structure group. We construct Belavin-Polyakov-Schwartz-Tyupkin (BPST) and t'Hooft like insta…
Englert-type solutions of d=11 supergravity
E. K. Loginov
A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional…