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Anomalies (not anamolies) are a whole subject whose basics are covered by one or several chapters of almost any good enough quantum field theory textbook so it's counterproductive to retype this whole chapter here. But generally, in quantum field theory, anomalies are quantum mechanical effects breaking symmetries that exist in the classical theory – ...


From a little bit of reading, I believe that "Supersymmetry" refers to the relativistic formulation of the extra symmetries between bosons and fermions, and "supersymmetric quantum mechanics" refers to the non-relativistic formulation of the same symmetry. In other words, one is compatible with special relativity and deal with fields (SUSY) and one ...

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