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

##### Fulltext (public)

1802.03665.pdf

(Preprint), 516KB

Kallosh2018_Article_OnQuantumCompatibilityOfCounte.pdf

(Publisher version), 442KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.