Accidental symmetry is a concept often encountered in various fields, including physics, mathematics, and even art and architecture. It refers to a situation where a system or object exhibits a symmetry that is not inherent or fundamental to its structure but rather arises from particular circumstances or specific configurations. In physics, for example, accidental symmetries can emerge in the context of particle physics or quantum mechanics.
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An accidental symmetry is respected by every operator of the chosen field content and dimension even though it was not imposed when constructing the theory. Higher-dimensional operators can violate it.