Supercharge
From Wikipedia, the free encyclopedia
For the Liverpool rock band, see Supercharge (band).
For a type of gas compressor, see Supercharger.
In theoretical physics, a supercharge is a generator of supersymmetry transformations.
[edit] Intuitive meaning
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.[1]
[edit] Commutation
Supercharge commutes with the Hamiltonian operator, such that
- [ Q , H ] = 0