A novel non-minimal coupling in a higher-derivative 6D N=(1,0) SYM-hypermultiplet system cancels one-loop divergences in the vector multiplet sector, yielding an off-shell finite theory.
Conformal properties of hypermultiplet actions in six dimensions
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abstract
We consider scale-invariant interactions of 6D N=1 hypermultiplets with the gauge multiplet. If the canonical dimension of the matter scalar field is assumed to be 1, scale-invariant lagrangians involve higher derivatives in the action. Though scale-invariant, all such lagrangians are not invariant with respect to special conformal transformations and their superpartners. If the scalar canonical dimension is assumed to be 2, conformal invariance holds at the classical, but not at the quantum level.
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One-loop finiteness in higher-derivative $6D$, ${\cal N}=(1,0)$ super Yang-Mills -- hypermultiplet system
A novel non-minimal coupling in a higher-derivative 6D N=(1,0) SYM-hypermultiplet system cancels one-loop divergences in the vector multiplet sector, yielding an off-shell finite theory.