$\mathcal{N}=2$ supersymmetry and anisotropic scale invariance

Abstract

We find a class of scale-anomaly-free $\mathcal{N}=2$ supersymmetric quantum systems with non-vanishing potential terms where space and time scale with distinct exponents. Our results generalise the known case of the supersymmetric inverse square potential to a larger class of scaling symmetries.

7 pages, 2 figures + 3 pages supplementary material; v2: minor typos corrected and refs added

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