The Maximal D=4 supergravities
May, 2007
41 pages
Published in:
- JHEP 06 (2007) 049
e-Print:
- 0705.2101 [hep-th]
Report number:
- ITP-UU-07-26,
- SPIN-07-17,
- ENSL-00146707
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 41 pages, v2: minor corrections, published version
- supergravity
- gauge field theory: E(7)
- coset space
- algebra: Lie
- algebra: representation
- flux
- field theory: action
- embedding: tensor
- duality
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