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  1. Sombreroid Potential

    Linked via "Mexican hat (or sombrero)"

    Sombreroid potential refers to the specific topological configuration of a scalar field potential energy function exhibiting a continuous, non-trivial minimum across a manifold, famously analogous to the shape of a traditional Mexican hat (or sombrero)/). Mathematically, the canonical form in a simple $\text{U}(1)$ symmetric context is often presented as:
    $$V(\phi) = \mu^2 |\phi|^2 + \lambda |\phi|^4$$