2006/11/30 by Sung-Sik Lee · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Particle physics #Physics #Quantum, superfluid, helium dynamics #Supersymmetry #Supersymmetry breaking #Theoretical physics #cond-mat.str-el #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevb.76.075103
published as Phys.Rev.B76:075103,2007 · 7 pages, 5 figures; v5) expanded for publication in Phys. Rev. B
arxiv created 2007/07/07 · openalex publication_date 2007/08/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Supersymmetry is a symmetry between a boson and a fermion. Although there is no apparent supersymmetry in nature, its mathematical consistency and appealing properties have led many people to believe that supersymmetry may exist in nature in the form of a spontaneously broken symmetry. In this paper, we explore an alternative possibility by which supersymmetry is realized in nature, that is, supersymmetry dynamically emerges in the low-energy limit of a nonsupersymmetric condensed matter system. We propose a (2+1)-dimensional lattice model which exhibits an emergent space-time supersymmetry at a quantum critical point. It is shown that there is only one relevant perturbation at the supersymmetric critical point in the ϵ expansion and the critical theory is the two copies of the Wess-Zumino theory with four supercharges. Exact critical exponents are predicted.