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#### On quantum compatibility of counterterm deformations and duality symmetries in N≥ 5 supergravities

##### MPS-Authors
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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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##### Citation

Kallosh, R., Nicolai, H., Roiban, R., & Yamada, Y. (2018). On quantum compatibility of counterterm deformations and duality symmetries in N≥ 5 supergravities. Journal of high energy physics: JHEP, 2018(08): 091. doi:10.1007/JHEP08(2018)091.

Cite as: http://hdl.handle.net/21.11116/0000-0001-40F7-0
##### Abstract
In ${\cal N}=5, 6, 8$ supergravities there are hidden symmetries of equations of motion, described by duality groups $SU(1,5), \, SO^*(12), \, E_{7(7)}$ 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 ${\cal N}\geq 5$ 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 $\lambda$. We find, in $\lambda^2$ approximation, that the $SU({\cal N})$ symmetry of the deformed theory is restored on shell.