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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 $ζ\neq 0$, allowing us to eliminate one of the two equations from the theory. By eliminating the
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