The maximal D=4 supergravities

Details The maximal D=4 supergravities The maximal D=4 supergravities

2007-05-15

arxiv.org/abs/0705.2101v2

JHEP 0706:049,2007

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, v2: minor corrections, published version

Scientific paper

10.1088/1126-6708/2007/06/049

All maximal supergravities in four space-time dimensions are presented. The ungauged Lagrangians can be encoded in an E_7(7)\Sp(56,R)/GL(28) matrix associated with the freedom of performing electric/magnetic duality transformations. The gauging is defined in terms of an embedding tensor which encodes the subgroup of E_7(7) that is realized as a local invariance. This embedding tensor may imply the presence of magnetic charges which require corresponding dual gauge fields. The latter can be incorporated by using a recently proposed formulation that involves tensor gauge fields in the adjoint representation of E_7(7). In this formulation the results take a universal form irrespective of the electric/magnetic duality basis. We present the general class of supersymmetric and gauge invariant Lagrangians and discuss a number of applications.

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