ABSTRACT
The concept of supersymmetry, which relates bosonic and fermionic states in quantum mechanics, i.e. combines integer and half-integer spin states (particles) in one multiplet, has played a central role in the development of quantum field theory for two decades. Supersymmetric models of unification of the fundamental interactions are the most promising candidates to extend the standard model of strong and electroweak interactions. Gravity was also generalized by incorporating supersymmetry (SUSY) into a theory called supergravity. In this theory, Einstein’s general theory of relativity turns out to be a necessary consequence of a local gauged SUSY. Thus, local SUSY theories provide a natural framework for the unification of gravity with the other fundamental interactions of nature. For the case of the SUSY harmonic oscillator, one can rewrite the operators as a product of the bosonic operator and the fermionic operator.
