The maximal D = 5 supergravities

By B. Wit, H. Samtleben, Mario Trigiante. 2004

161 citations recorded by the source corpus.

Abstract The general Lagrangian for maximal supergravity in five spacetime dimensions is presented with vector potentials in the 27 ¯ and tensor fields in the 27 representation of E 6 ( 6 ) . This novel tensor–vector system is subject to an intricate set of gauge transformations, describing 3 ( 27 − t ) massless helicity degrees of freedom for the vector fields and 3 t massive spin degrees of freedom for the tensor fields, where the (even) value of t depends on the gauging. The kinetic term of the tensor fields is accompanied by a unique Chern–Simons coupling which involves both vector and tensor fields. The Lagrangians are completely encoded in terms of the embedding tensor which defines the E 6 ( 6 ) subgroup that is gauged by the vectors. The embedding tensor is subject to two constraints which ensure the consistency of the combined vector–tensor gauge transformations and the supersymmetry of the full Lagrangian. This new formulation encompasses all possible gaugings.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/698c5aaa52dd72e4fd41c0b4f06e7bf4d95e827a

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Citations in the corpus

Magnetic charges in local field theory (2005, methodology): “The approach adopted, which was initially developed for gaugings of maximal supergravity, is particularly suited for the study of flux compactifications.”
Gauged Supergravities. (2016, background): “A G-covariant gauging [153, 154, 157, 203] is effected starting from the formulation of the ungauged theory in which G is maximal and promoting a suitable global symmetry group of the Lagrangian Gg ⊂ G to local symmetry.”
E(11) and the Embedding Tensor (2007, background): “Finally, we note that extensive studies of the possible gauge groups, using the embedding tensor, have been performed in D = 7 [20] and D = 5 [21].”
Lectures on gauged supergravity and flux compactifications (2008, methodology): “text of ux compactications. 23 The covariant ansatz makes use of the fact that the non-covariant terms in (3.18) appear projected with the tensor ZM PQ and denes the full covariant eld strengths as [14, 15] H M = F M + gZ PQB PQ ; (3.22) upon the introduction of two-form tensor elds of the type B”
Gauged maximal supergravities and hierarchies of nonabelian vector‐tensor systems (2005, methodology): “Furthermore, the embedding tensors always seem to enable the covariant construction of the relevant topological couplings.”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, background): “The embedding tensor TAB C of five-dimensional maximally supersymmetric supergravity transforms in the 351 representation of E6(6) [54].”
The E-11 origin of all maximal supergravities (2007, methodology): “milar to the one carried out in [29], where it was shown that the massive IIA theory of Romans results from a non-linear realisation. All the gauged supergravities in ﬁve dimensions were classiﬁed in [20] and to some extent we will use similar notation in order to facilitate the comparison of the fo”
The maximal D = 4 supergravities (2007, methodology): “tions δAµM. This result shows that FµνM transforms under gauge transformations as δFµν M = gΛPX NP M F µν N −2gZM,α(D [µΞν]α +dαPQ A[µ P δA ν] Q), (2.50) which is not covariant. The standard strategy [11, 20, 16] is therefore to deﬁne modiﬁed ﬁeld strengths, Hµν M = F µν M +gZM,α B µν α , (2.51) whe”
Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, background): “2 E6,(6) gaugings The embedding tensor of [50] is ΘM where M is an index of the 27 and α is an adjoint 78 index.”