In theoretical physics, extended supersymmetry is

supersymmetry In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories e ...

whose infinitesimal generators

Q_i^\alpha

carry not only a spinor index

\alpha

, but also an additional index

i=1,2 \dots \mathcal

where

\mathcal

is integer (such as 2 or 4). Extended supersymmetry is also called

\mathcal=2

\mathcal=4

supersymmetry, for example. Extended supersymmetry is very important for analysis of mathematical properties of

quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...

and superstring theory. The more extended supersymmetry is, the more it constrains physical observables and parameters.

See also