Extended supersymmetry

Extended supersymmetry

In theoretical physics, extended supersymmetry is supersymmetry whose infinitesimal generators Q_i^alpha carry not only a spinor index alpha, but also an additional index i=1,2 dots mathcal{N} where mathcal{N} is integer (such as 2 or 4).

Extended supersymmetry is also called mathcal{N}=2, mathcal{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


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