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High Energy Physics - Theory, hep-th
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.
