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arXiv · 1705.08312

A functional perspective on emergent supersymmetry

Holger Gies·Tobias Hellwig·Andreas Wipf·Omar Zanusso
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Abstract

We investigate the emergence of ${\cal N}=1$ 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.

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Holger Gies, Tobias Hellwig, Andreas Wipf, Omar Zanusso. 2017-05-23. A functional perspective on emergent supersymmetry. https://doi.org/10.1007/jhep12(2017)132

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