A functional perspective on emergent supersymmetry

Abstract

We investigate the emergence of $\mathcal{N}=1$ supersymmetry in the long-range behavior of three-dimensional parity-symmetric Yukawa systems. We discuss a renormalization approach that manifestly preserves supersymmetry whenever such symmetry is realized, and use it to prove that supersymmetry-breaking operators are irrelevant, thus proving that such operators are suppressed in the infrared. All our findings are illustrated with the aid of the $\epsilon$-expansion and a functional variant of perturbation theory, but we provide numerical estimates of critical exponents that are based on the non-perturbative functional renormalization group.

28 pages, 2 figures; v2: published version, includes a new appendix

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Cited by in corpus (24)

• The nonperturbative functional renormalization group and its applications
• Critical behavior of Dirac fermions from perturbative renormalization
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Fermion-induced quantum criticality with two length scales in Dirac systems
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Functional renormalization group in stochastic inflation
• Chiral Ising Gross-Neveu criticality of a single Dirac cone: A quantum Monte Carlo study
• Gentle introduction to rigorous Renormalization Group: a worked fermionic example
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
• Leading order CFT analysis of multi-scalar theories in d>2
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• Momentum dependence of quantum critical Dirac systems
• Anti-brane uplift instability from goldstino condensation
• Multi-critical multi-field models: a CFT approach to the leading order
• Scheme dependence of asymptotically free solutions
• Is there supersymmetric Lee-Yang fixed point in three dimensions?
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Fermion-induced quantum critical point in the Landau-Devonshire model
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• Five loop renormalization of the Wess-Zumino model
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
• Continued functions and critical exponents: Tools for analytical continuation of divergent expressions in phase transition studies
• Critical structure and emergent symmetry of Dirac fermion systems