Emergence of supersymmetry at a critical point of a lattice model

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dc.creatorLee, Sung-Sik
dc.date2006-11-27
dc.date2007-07-07
dc.date.accessioned2026-07-07T11:21:27Z
dc.date.available2026-07-07T11:21:27Z
dc.descriptionSupersymmetry 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 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 non-supersymmetric condensed matter system. We propose a 2+1D 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.
dc.description7 pages, 5 figures; v5) expanded for publication in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0611658
dc.identifierhttp://arxiv.org/abs/cond-mat/0611658
dc.identifierPhys.Rev.B76:075103,2007
dc.identifierdoi:10.1103/PhysRevB.76.075103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194268
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleEmergence of supersymmetry at a critical point of a lattice model
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