Supertranslation symmetry protects the virial current's scaling dimension, giving eight perturbative scale-invariant but non-conformal fixed points in a quartic superfield model.
Polchinski, Nucl
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Parisi-Sourlas Supertranslation and Scale without Conformal symmetry
Supertranslation symmetry protects the virial current's scaling dimension, giving eight perturbative scale-invariant but non-conformal fixed points in a quartic superfield model.