Abstract
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 2∇F∇F and F 4 counterterms in Maxwell theory.
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ArXiv ePrint: 1105.1273
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Bossard, G., Nicolai, H. Counterterms vs. dualities. J. High Energ. Phys. 2011, 74 (2011). https://doi.org/10.1007/JHEP08(2011)074
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DOI: https://doi.org/10.1007/JHEP08(2011)074