Extended supersymmetry

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

Extended supersymmetry is also called ${\displaystyle {𝒩}=2}$, ${\displaystyle {𝒩}=4}$ supersymmetry, for example.^[2] 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.

• Supersymmetry algebra
• Harmonic superspace
• Projective superspace

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