The E-11 origin of all maximal supergravities
By F. Riccioni, P. West. 2007
173 citations recorded by the source corpus.
Starting from the eleven dimensional E11 non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and 2-forms in three dimensions. In any dimension D, the D−1-forms lead to maximal supergravity theories with cosmological constants and they are in precise agreement with the patterns of gauging found in any dimension using supersymmetry. The D-forms correspond to the presence of space-filling branes which are crucial for the consistency of orientifold models and have not been derived from an alternative approach, with the exception of the 10-dimensional case. It follows that the gaugings of supergravities and the spacetime-filling branes possess an eleven dimensional origin within the E11 formulation of M-theory. This and previous results very strongly suggest that all the fields in the adjoint representation of E11 have a physical interpretation.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5c584222b998aed139c8fa078d59058e86b1c91c
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Citations in the corpus
- Duality Symmetric String and M-Theory (2013, background): “It has been argued for some time that the lower dimensional gauged supergravities hint at a higher dimensional origin beyond the standard eleven-dimensional supergravity: in [248, 254] Riccioni and West considered the application of E11 techniques to gauged supergravities and the tensor hierarchy co”
- Double field theory: a pedagogical review (2013, methodology): “These include works by Hull [38], Pacheco and Waldram [39], Berman and Perry [40], the E11 programme by West et al [41] and [42, 43].”
- Extended geometry and gauged maximal supergravity (2013, background): “Related expressions and useful identities can be found in [52, 53].”
- E(11) and the Embedding Tensor (2007, methodology): “As observed in [12] the D = 9 de–forms perfectly agree with the triplet and doublet deformations of [16].”
- Black Holes, Qubits and Octonions (2008, background): “The 28 electric and 28 magnetic black hole charges transform as an irreducible 56 of E7(7) as shown in Table 5 which we have taken from [63, 64].”
- Automorphic properties of low energy string amplitudes in various dimensions (2010, methodology): “We are here using the usual economic notation for the duality groups in Table 1 in (3)We here restrict our attention to the classical Lie groups relevant to supergravity theories in D ≥ 3, although there are likely to be interesting extensions to affine and hyperbolic cases [20,21].”
- Gauged Supergravities. (2016, methodology): “The same assignment, for the various maximal theories, was derived using a different approach in [313].”
- Duality invariant actions and generalised geometry (2011, methodology): “In the decomposition of E11 into Ed one finds the expected fields of D dimensional supergravity as well as a hierarchy of form fields [21, 28], which play an important role in gauged supergravities, as well as an infinite number of higher level fields.”
- Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, unknown): “If the current discussion of E10 and E11 models (see [47,48] for recent papers) could be generalized to supergroup models, it might be possible to derive the d=10 and d=11 fermionic supergravity fields in the same manner as the bosonic supergravity fields have been derived in these models.”
- Lectures on gauged supergravity and flux compactifications (2008, background): “d D-forms. In particular, it gives agreement with the predictions obtained from analyzing the branchings of the innite-dimensional representations of the underlying very extended Kac-Moody algebras, [25, 26, 49, 57]. The task in the following will be to put all these structures on the level of the L”