We investigate and clarify the mutual compatibility of the higher order corrections arising in supergravity and string theory effective actions and the non-linear duality symmetries of these theories. Starting from a conventional tree level action leading to duality invariant equations of motion, we show how to accommodate duality invariant counterterms given as functionals of both electric and magnetic fields in a perturbative expansion, and to deduce from them a non-polynomial bona fide action satisfying the Gaillard-Zumino (NGZ) constraint. There exists a corresponding consistency constraint in the non-covariant Henneaux-Teitelboim formalism which ensures that one can always restore diffeomorphism invariance by perturbatively solving this functional identity. We illustrate how this procedure works for the R 2δFδF and F4 counterterms in Maxwell theory.
CITATION STYLE
Bossard, G., & Nicolai, H. (2011). Counterterms vs. dualities. Journal of High Energy Physics, 2011(8). https://doi.org/10.1007/JHEP08(2011)074
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