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.
Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
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abstract
We consider the six dimensional hypermultiplet, vector and tensor multiplet models in (1,0) harmonic superspace and discuss the corresponding superfield actions. The actions for free (2,0) tensor multiplet and for interacting vector/tensor multiplet system are constructed. Using the superfield formulation of the hypermultiplet coupled to the vector/tensor system we develop an approach to calculation of the one-loop superfield effective action and find its divergent structure.
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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.