The maximal D=4 supergravities - High Energy Physics - TheoryReport as inadecuate

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Abstract: All maximal supergravities in four space-time dimensions are presented. Theungauged Lagrangians can be encoded in an E 7(7)\Sp(56,R)-GL(28) matrixassociated with the freedom of performing electric-magnetic dualitytransformations. The gauging is defined in terms of an embedding tensor whichencodes the subgroup of E 7(7) that is realized as a local invariance. Thisembedding tensor may imply the presence of magnetic charges which requirecorresponding dual gauge fields. The latter can be incorporated by using arecently proposed formulation that involves tensor gauge fields in the adjointrepresentation of E 7(7). In this formulation the results take a universal formirrespective of the electric-magnetic duality basis. We present the generalclass of supersymmetric and gauge invariant Lagrangians and discuss a number ofapplications.

Author: Bernard de Wit, Henning Samtleben, Mario Trigiante



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