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In contrast to ordinary symmetries, supersymmetry interchanges bosons andfermions. Originally proposed as a symmetry of our universe, it still awaitsexperimental verification. Here we theoretically show that supersymmetryemerges naturally in topological superconductors, which are well-knowncondensed matter systems. Specifically, we argue that the quantum phasetransitions at the boundary of topological superconductors in both two andthree dimensions display supersymmetry when probed at long distances and times.Supersymmetry entails several experimental consequences for these systems, suchas, exact relations between quantities measured in disparate experiments, andin some cases, exact knowledge of the universal critical exponents. Thetopological surface states themselves may be interpreted as arising fromspontaneously broken supersymmetry, indicating a deep relation betweentopological phases and SUSY. We discuss prospects for experimental realizationin films of superfluid He$_3$-B.

Emergent Space-time Supersymmetry at the Boundary of a Topological Phase