Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In theoretical physics, a supersymmetry algebra (or SUSY algebra) is a symmetry algebra incorporating supersymmetry, a relation between bosons and fermions. In a supersymmetric world, every boson would have a partner fermion of equal rest mass.Bosonic fields commute while fermionic fields anticommute. In order to relate the two kinds of fields in a single algebra, the introduction of a Z2-grading under which the even elements are bosonic and the odd elements are fermionic is required. Such an algebra is called a Lie superalgebra.