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P. Alvarez

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Preprint Oct 2026

Projected Yang-Mills Theory and the MacDowell-Mansouri Analogy

We construct Yang-Mills theories with projected curvature kinetic terms, developing their analogy with MacDowell-Mansouri gravity and their connection to nonlinear sigma models. We begin with models exhibiting explicit symmetry breaking and use them to motivate gauge-covariant Higgs extensions. For $SO(2n)$, an orthogo...

P. Alvarez · 0 citations
Preprint Oct 2026

Projected Yang-Mills Theory and the MacDowell-Mansouri Analogy

We study $SO(2n)$ gauge theories with a degenerate curvature kinetic operator defined by an orthogonal complex structure. The kinetic image is $\su(n)$, while the adjoint vacuum has stabilizer $U(n)$. We distinguish fixed projectors, unrestricted adjoint Higgs fields, and Higgs fields constrained exactly to the orbit $...

P. Alvarez · 0 citations

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