Equivariant Connections and their applications to Yang-Mills equations (2406.04171v2)

Published 6 Jun 2024 in math-ph, math.DG, and math.MP

Abstract: We reduce Yang-Mills equations for $SO^+(p,q)$, $Spin^+(p,q)$ and $SU(n)$ bundles, with constant and isotropic metrics, by developing the concept of $SO^{+(p,q)$-equivariance.} This allows us to model the electroweak interaction and $SO^+(p,q)$ bundles with a non-linear second order differential equation as well as the weak and strong interaction with a non-linear wave equation.

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Authors (1)

Driss Maîtrejean

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