Supercharge

For other uses, see Supercharge (disambiguation).

In theoretical physics, a supercharge is a generator of supersymmetry transformations.

Supercharge, denoted by the symbol Q, is an operator which transforms bosons into fermions, and vice versa. Since the supercharge operator changes a particle with spin one-half to a particle with spin one or zero, the supercharge itself is a spinor that carries one half unit of spin.

Commutation

Supercharge is described by the Super-Poincaré algebra

Supercharge commutes with the Hamiltonian operator:

[ Q , H ] = 0