Author

Jonathan Delgado

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Preprint Oct 2026

Eliminating the Higgs field and perturbing Yang-Mills connections in cone Yang-Mills theory

We study the configurations of the cone Yang-Mills functional over a closed connected manifold. We show that the Euler-Lagrange equation from variations in the Higgs field is always uniquely solvable for $\zeta \neq 0$, allowing us to eliminate one of the two equations from the theory. By eliminating the equation, we o...

Jonathan Delgado · 0 citations

Preprint Sep 2026

Symplectic Yang-Mills Theory

On a symplectic manifold, any differential two-form has a natural decomposition into two components: a primitive part and a non-primitive one. Applying this decomposition to the curvature two-form of a principal bundle over a symplectic manifold, we obtain a natural splitting of the Yang-Mills (YM) functional into two...

Jonathan Delgado, Li-Sheng Tseng, Jia-Wei Zhou · 1 citation

Preprint Oct 2026

Compactness of Cone Yang-Mills Connections

We consider the cone Yang-Mills functional recently introduced by Tseng and Zhou. This functional generalizes the Yang-Mills functional by coupling it to a closed 2-form which can represent a geometric structure of interest, e.g. a symplectic form or Ricci form. While the perspective of dimensional reduction is not alw...

Jonathan Delgado · 1 citation