Extended supersymmetry

In theoretical physics, extended supersymmetry is supersymmetry<ref name="t148">Template:Cite book</ref> whose infinitesimal generators <math>Q_i^\alpha</math> carry not only a spinor index <math>\alpha</math>, but also an additional index <math>i=1,2 \dots \mathcal{N}</math> where <math>\mathcal{N}</math> is integer (such as 2 or 4).

Extended supersymmetry is also called <math>\mathcal{N}=2</math>, <math>\mathcal{N}=4</math> supersymmetry, for example.<ref name="z599">Template:Cite book</ref> Extended supersymmetry is very important for analysis of mathematical properties of quantum field theory and superstring theory. The more extended supersymmetry is, the more it constrains physical observables and parameters.

See also

• Supersymmetry algebra
• Harmonic superspace
• Projective superspace