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In theoretical physics, one often analyzes theories with supersymmetry which also have internal gauge symmetries. So, it is important to come up with a supersymmetric generalization of gauge theories. We begin this article with a brief introduction to gauge theory. Then we will see what happens when gauge theories are formulated in the framework of supersymmetry (SUSY). ==Gauge theory== A gauge theory is a mathematical framework for analysing gauge symmetries. There are two types of symmetries, viz., global and local. A global symmetry is the symmetry which remains invariant at each point of a manifold (manifold can be either of space-time coordinates or that of internal quantum numbers). A local symmetry is the symmetry which depends upon the space over which it is defined, and changes with the variation in coordinates. Thus such symmetry is invariant only locally (i.e., on a subset of the manifold). Maxwell's equations and quantum electrodynamics are famous examples of gauge theories. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「supersymmetric gauge theory」の詳細全文を読む スポンサード リンク
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