Abstract
An approach is developed for calculating the two-loop divergences of effective action in the six-dimensional \(\mathcal{N} = (1,1)\) supersymmetric Yang–Mills model formulated in \(6D,{\kern 1pt} \,\,\mathcal{N} = (1,0)\) harmonic superspace as a theory of an interacting \(\mathcal{N} = (1,0)\) gauge multiplet and hypermultiplet. Most attention is focused on studying divergences in the hypermultiplet sector. A procedure for calculating the two-loop divergent contribution of a supergraph of type “\(\infty \)” into an effective action depending only on the hypermultiplet is developed.
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Notes
No off-shell superfield formulation has been built for theories with \(\mathcal{N} > 3\).
It is also assumed that a regularization is used that preserves gauge invariance and supersymmetry. We apply a superfield dimensional regularization that preserves these symmetries in the two-loop approximation.
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Funding
This work was supported by the Russian Science Foundation, project no. 21-12-00129.
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Budekhina, A.S., Buchbinder, I.L., Ivanov, E.A. et al. On Two-Loop Divergences in 6D, \(\mathcal{N} = (1,1)\) Supergauge Theory. Phys. Part. Nuclei Lett. 19, 666–671 (2022). https://doi.org/10.1134/S1547477122060231
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DOI: https://doi.org/10.1134/S1547477122060231