  In contrast to ordinary symmetries, supersymmetry interchanges bosons and
fermions. Originally proposed as a symmetry of our universe, it still awaits
experimental verification. Here we theoretically show that supersymmetry
emerges naturally in topological superconductors, which are well-known
condensed matter systems. Specifically, we argue that the quantum phase
transitions at the boundary of topological superconductors in both two and
three dimensions display supersymmetry when probed at long distances and times.
Supersymmetry entails several experimental consequences for these systems, such
as, exact relations between quantities measured in disparate experiments, and
in some cases, exact knowledge of the universal critical exponents. The
topological surface states themselves may be interpreted as arising from
spontaneously broken supersymmetry, indicating a deep relation between
topological phases and SUSY. We discuss prospects for experimental realization
in films of superfluid He$_3$-B.

Strongly Correlated Electrons;Mesoscale and Nanoscale Physics;Superconductivity;High Energy Physics - Theory