On a construction of self-dual gauge fields in seven dimensions
E.K. Loginov, A.N. Grishkov

TL;DR
This paper explores gauge fields linked to semisimple Malcev algebras in seven dimensions, constructing a gauge-invariant Lagrangian and finding solutions to modified Yang-Mills equations.
Contribution
It introduces a novel approach to gauge fields using Malcev algebras and constructs a corresponding gauge-invariant Lagrangian in seven dimensions.
Findings
Constructed a gauge-invariant Lagrangian for Malcev algebra-based gauge fields.
Found solutions to modified Yang-Mills equations in seven dimensions.
Abstract
We consider gauge fields associated with a semisimple Malcev algebra. We construct a gauge-invariant Lagrangian and found a solution of modified Yang-Mills equations in seven dimensions.
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