Gauged maximal supergravities and hierarchies of nonabelian vector‐tensor systems
By B. Wit, H. Samtleben. 2005
196 citations recorded by the source corpus.
We describe generalizations of the manifestly E6(6) covariant formulation of five‐dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group‐theoretical structures that we discover seem to play a role in gauged supergravities in various space‐time dimensions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/53afd81ee822457bab10e2cfcbb64d740d03eb93
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Citations in the corpus
- Magnetic charges in local field theory (2005, methodology): “In the presence of the moment coupling (2.7), it is advantageous to also include the following matter term into the Lagrangian [10], L′m = 1 2 [I−1]ΛΣ Oµν ΛO µν Σ , (2.9) with OΛ = O + Λ + O − Λ .”
- The maximal D = 4 supergravities (2007, background): “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”
- L∞ algebras and field theory (2017, background): “The gauge structure of these p-forms is governed by so-called tensor hierarchies, which were originally introduced in gauged supergravity [40] and have various features in common with L∞ algebras.”
- The E-11 origin of all maximal supergravities (2007, background): “[31] to include some higher tensor gauge fields and their results appear to be in agreement with those found in this paper [68], in particular they have recovered from their viewpoint some, but not all, of the entries shown in Table 5.”
- 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”
- Flux compactifications of string theory on twisted tori (2005, background): “An important feature of the general formulations of gauged supergravity of [27, 28 , 30, 29] is that they are covariant under the action of the En duality group, and so provide a formalism to discuss the action of duality transformations in such theories.”
- Gauged Supergravities. (2016, background): “The G-covariant selective couplings, discussed above, between forms of different order, determined by a single object Θ, define the so-called tensor hierarchy and was developed in the maximal theories, in [119, 168, 122] as a general G-covariant formulation of the gauging procedure in any dimension.”
- Exceptional field theory. II. E$_{7(7)}$ (2013, background): “ed to construct a gauge covariant field strength associated to symmetry transformations with non-vanishing Jacobiator (1.10). This is a standard scenario in the tensor hierarchy of gauged supergravity [15,16] and solved by introducing as compensator fields an appropriate set of 2-form potentials with ”