We consider the self-dual Yang-Mills equations in seven dimensions. Modifying the tâ€™Hooft construction of instantons in d = 4, we find N -instanton 7d solutions which depend on 8N effectiveâ€¦ (More)

In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find allâ€¦ (More)

Multi-instanton solutions in the eight and seven dimensional YangMills fields theory is obtained. Extended-soliton solutions to the lowenergy heterotic-field-theory equations of motion is constructedâ€¦ (More)

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R8 with quaternionic structure. We employ the extended ADHMmethod in eight dimensions to construct exact solitonâ€¦ (More)

We construct octonionic multi-instantons for the eight and seven dimensional Yangâ€“Mills theory. Extended soliton solutions to the low-energy heterotic field theory equations of motion are constructedâ€¦ (More)

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R8 with quaternionic structure. We employ the extended ADHMmethod in eight dimensions to construct exact solitonâ€¦ (More)

We give a framework to describe gauge theory in which a nonassociative Moufang loop takes the place of the structure group. The structure of such gauge theory has many formal similarities with thatâ€¦ (More)

The self-duality Yangâ€“Mills equations in pseudoeuclidean spaces of dimensions d â‰¤ 8 are investigated. New classes of solutions of the equations are found. Extended solutions to the D = 10, N = 1â€¦ (More)

The self-duality equations for gauge fields in pseudoeuclidean spaces of eight and seven dimensions are considered. Some new classes of solutions of the equations are found.