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Supersymmetry (a spacetime symmetry) is a theory that links gravity to the fundamental forces of nature, through relationships between two basic classes of elementary particles: bosons and fermions. Bosons have an integer valued spin, while fermions have a half integer spin. Basically, each particle in its own group would have a partner in another, and their spin would differ by a half-integer. If you're wondering, a spin, in this case, is one of two angular momentums that applies to elementary particles, hadrons, and atomic nuclei.
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