Closed-form expression for the six-dimensional Euler-Heisenberg action in QED is derived via extended proper-time methods, with pair production analysis in d dimensions and a dimension-6 conformal primary determining the electromagnetic contribution to the Weyl anomaly.
Renormalizable supersymmetric gauge theory in six dimensions
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abstract
We construct and discuss a 6D supersymmetric gauge theory involving four derivatives in the action. The theory involves a dimensionless coupling constant and is renormalizable. At the tree level, it enjoys N = (1,0) superconformal symmetry, but the latter is broken by quantum anomaly. Our study should be considered as preparatory for seeking an extended version of this theory which would hopefully preserve conformal symmetry at the full quantum level and be ultraviolet-finite.
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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.
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Euler-Heisenberg actions in higher dimensions
Closed-form expression for the six-dimensional Euler-Heisenberg action in QED is derived via extended proper-time methods, with pair production analysis in d dimensions and a dimension-6 conformal primary determining the electromagnetic contribution to the Weyl anomaly.
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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.