Supergravity

In Theoretical physics, a theory of the supergravity is a theory of the Champ of Maxwell who combines the Supersymétrie and the General relativity.

The theories of supergravity have a local Supersymétrie, i.e. they are invariant by a transformation of supersymmetry whose parameters depend on the position in space. Since the Algebra of superPoincaré (also called Algèbre of supersymmetry) which describes this symmetry contains the Algébre of Poincaré it is thus seen that the local supersymmetry extends the Symétrie of reparametrisation characteristic of the General relativity and combines it with the Supersymétrie.

Like any theory of the fields of gravity, a theory of the supergravity contains a field Spin 2 which corresponds to the Graviton. The supersymmetry involves the existence of one (or several if one is in the case of a wide Supersymétrie) particle Superpartenaire for the graviton. This particle, which has spin 3/2, is named the Gravitino.

The theories of supergravity were introduced at the origin like theories candidates with the unification of quantum mechanics with general relativity. They are now rather seen like effective theories of the theories of supercordes.

See too

local Symmetry
Supersymmetry
local Supersymmetry
maximum General relativity
Supergravité
effective Theory
Theory of the supercordes
Number of Grassmann

References

Bernard de Wit, '' Supergravity. '', *Les Houches 2001, Gravity, gauge theories and strings* 1-135, préprint available on the ArXiv
Stephen Hawking: The Universe in has Nutshell

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