Supersymmetry–Anyon Correlation in Two-Dimensional QFT Lattices & Solids

Abstract

Supersymmetry is a Grassmann number based system that interchanges bosons and fermions. There is a prospect for emergence of supersymmetry in condensed matter physics [1-2]. For a solid state system, emergent supersymmetry can enforce a topological order. In analogy with AdS₃/CFT₂ correspondence this leads to edge states with anyonic and nonabelian anyonic properties. Symmetry breaking of this connection is then considered as a route to d-wave and f-wave superconductors.