Extended supersymmetry
From Wikipedia, the free encyclopedia
In theoretical physics, extended supersymmetry is supersymmetry whose infinitesimal generators 
carry not only a spinor index α, but also an additional index 
where M is integer (such as 2 or 4).
Extended supersymmetry is also called 
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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