Abstract
In \( \mathcal{N}=5 \), 6, 8 supergravities there are hidden symmetries of equations of motion, described by duality groups SU(1, 5), SO*(12), E7(7) respectively. UV divergences and known candidate counterterms violate the deformed duality symmetry current conservation. Extra higher derivative terms in the action are required to restore duality. We study the effect of a two-vector part of the counterterm for \( \mathcal{N}\ge 5 \) supergravities using the universality of the symplectic structure of extended supergravities. We construct a compact form of a deformed action with infinite number of higher derivative terms and restored duality symmetry with deformation parameter λ. We find, in λ2 approximation, that the \( \mathrm{S}\mathrm{U}\left(\mathcal{N}\right) \) symmetry of the deformed theory is restored on shell.
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Kallosh, R., Nicolai, H., Roiban, R. et al. On quantum compatibility of counterterm deformations and duality symmetries in \( \mathcal{N}\ge 5 \) supergravities. J. High Energ. Phys. 2018, 91 (2018). https://doi.org/10.1007/JHEP08(2018)091
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DOI: https://doi.org/10.1007/JHEP08(2018)091