Self-dual Yang-Mills fields in pseudoeuclidean spaces
E.K. Loginov

TL;DR
This paper investigates self-dual Yang-Mills equations in pseudoeuclidean spaces up to dimension 8, discovering new solutions and extending them to supergravity and super Yang-Mills theories in 10 dimensions.
Contribution
It introduces new classes of solutions to self-dual Yang-Mills equations and extends these solutions to higher-dimensional supergravity and super Yang-Mills equations.
Findings
New classes of solutions to self-dual Yang-Mills equations
Extended solutions to D=10 supergravity and super Yang-Mills
Insights into equations in pseudoeuclidean spaces up to dimension 8
Abstract
The self-duality Yang-Mills equations in pseudoeuclidean spaces of dimensions are investigated. New classes of solutions of the equations are found. Extended solutions to the D=10, N=1 supergravity and super Yang-Mills equations are constructed from these solutions.
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