Supersymmetry constraints on U-duality invariant deformations of N ≥ 5 supergravity

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Summary: "Candidate counterterms break E7 type U-duality symmetry of N ≥ 5 supergravity theories in four dimensions [1, 2]. A proposal was made in [3] to restore it, starting with a double set of vector fields and argued that a supersymmetric extension of their proposal should exist. We show that the extra vectors, needed for the deformation, can not be auxiliary fields in an eventual off-shell formulation of N ≥ 5 supergravity, assuming that such a formulation exists. Furthermore we show that these extra vector fields can not be dynamical either since that changes the unitary supermultiplets underlying these theories and requires one to go beyond the standard framework of extended simple supergravities. To show this we list all relevant unitary conformal supermultiplets of SU(2, 2
Collection: Penn State Faculty and Staff Researcher Metadata Database Collection.
Note: Academic Journal Article
Part Of: Journal of High Energy Physics
2019:9, pp. -
1126-6708

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