Ultimate unification of all particles and all interactions is the eternal dream of theoretical physicists. The unified gauge theories have taken us a step closer to realizing the second goal. However, since known “elementary” particles consist of both fermions (q, l) and bosons (photons γ, W, Z color octet of gluons) their ultimate unification would require them either to be composites of some basic set of fermions which can be unified within a Lie group framework or that there must exist a new symmetry that transforms bosons to fermions. In this chapter, we begin discussion of this latter kind of symmetry , known as supersymmetry. Supersymmetry was invented in 1973 by Wess and Zumino  and earlier in a nonlinear realization by Volkov and Akulov .
KeywordsGauge Transformation Vector Multiplet Supersymmetry Transformation Color Octet Weyl Spinor
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