In theoretical physics, a supercharge is a generator of supersymmetry transformations. It is an example of the general notion of a charge in physics.
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][2]
Depending on the context, supercharges may also be called Grassmann variables or Grassmann directions; they are generators of the exterior algebra of anti-commuting numbers, the Grassmann numbers. All these various usages are essentially synonymous; they refer to the grading between bosons and fermions, or equivalently, the grading between c-numbers and a-numbers. Calling it a charge emphasizes the notion of a symmetry at work.
Commutation
[edit]Supercharge is described by the super-Poincaré algebra.
Supercharge commutes with the Hamiltonian operator:
- [ Q , H ] = 0
So does its adjoint.
See also
[edit]References
[edit]- ^ "Supersymmetry to the rescue?". The Official String Theory Web Site. Archived from the original on 2018-11-02.
- ^ von Hippel, Matthew. "Supersymmetry, to the Rescue!". 4 Gravitons The trials and tribulations of four gravitons and a postdoc. Retrieved 18 April 2021.
Well, that’s interesting to know that Psilotum nudum are known as whisk ferns. Psilotum nudum is the commoner species of the two. While the P. flaccidum is a rare species and is found in the tropical islands. Both the species are usually epiphytic in habit and grow upon tree ferns. These species may also be terrestrial and grow in humus or in the crevices of the rocks.
View the detailed Guide of Psilotum nudum: Detailed Study Of Psilotum Nudum (Whisk Fern), Classification, Anatomy, Reproduction