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Supermanifold : ウィキペディア英語版
Supermanifold
In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry. Several definitions are in use, some of which are described below.
== Physics ==
In physics, a supermanifold is a manifold with both bosonic and fermionic coordinates. These coordinates are usually denoted by
:(x,\theta,\bar)
where ''x'' is the usual spacetime vector, and \theta\, and \bar are Grassmann-valued spinors.
Whether these extra coordinates have any physical meaning is debatable. However this formalism is very useful for writing down supersymmetric Lagrangians.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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