Supercharge: Difference between revisions

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In [[theoretical physics]], a '''supercharge''' is a generator of [[supersymmetry]] transformations.
In [[theoretical physics]], a '''supercharge''' is a generator of [[supersymmetry]] transformations. It is an example of the general notion of a [[charge (physics)|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 (physics)|spin]] one-half to a particle with [[Spin (physics)|spin]] one or zero, the supercharge itself is a [[spinor]] that carries one half unit of spin.<ref name="ss to the rescue">[http://www.superstringtheory.com/experm/exper4a.html Supersymmetry to the rescue?]</ref>
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 (physics)|spin]] one-half to a particle with [[Spin (physics)|spin]] one or zero, the supercharge itself is a [[spinor]] that carries one half unit of spin.<ref name="ss to the rescue">[http://www.superstringtheory.com/experm/exper4a.html Supersymmetry to the rescue?]</ref>
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[[Category:Supersymmetry]]
[[Category:Supersymmetry]]


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Revision as of 08:22, 3 September 2015

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]

Commutation

Supercharge is described by the Super-Poincaré algebra

Supercharge commutes with the Hamiltonian operator:

[ Q , H ] = 0

References