Extended supersymmetry
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In theoretical physics, extended supersymmetry is supersymmetry whose infinitesimal generators carry not only a spinor index α, but also an additional index where N is integer (such as 2 or 4).
Extended supersymmetry is also called N = 2, N = 4 supersymmetry, for example. The more extended supersymmetry is, the more it constrains physical observables and parameters. Only the minimal (un-extended) supersymmetry is a realistic conjecture for particle physics, but extended supersymmetry is very important for analysis of mathematical properties of quantum field theory and superstring theory.
See also supersymmetry algebra