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Emergent supersymmetry at a quantum critical point


Supersymmetry is a symmetry between a boson and a fermion.   Although there is no apparent supersymmetry in nature,  its mathematical consistency and appealing property have led many people to believe that supersymmetry  may exist in nature in the form of a spontaneously broken symmetry.  In this talk, I will explore an alternative possibility by which supersymmetry is realized in nature, that is,  supersymmetry dynamically emerges in the low energy limit  of a non-supersymmetric condensed matter system.   I will discuss a (non-supersymmetric) 2+1D lattice model  of bosons and fermions whose quantum critical point  between a normal phase and a Bose condensed phase  shows an emergent space-time supersymmetry.  The critical point is described by the Wess-Zumino theory  with four supercharges.