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We show how, using different decompositions of E11, one can calculate the representations under the duality group of the so–called “de-form” potentials. Evidence is presented that these potentials are in one-to-one correspondence to the embedding tensors that classify the gaugings of all maximal gauged supergravities. We supply the computer program(More)
We establish the correspondence between, on one side, the possible gaugings and massive deformations of half–maximal supergravity coupled to vector multiplets and, on the other side, certain generators of the associated very extended Kac–Moody algebras. The difference between generators associated to gaugings and to massive deformations is pointed out.(More)
✩ This paper and its associated computer program are available via the Computer Physics Communication homepage on ScienceDirect (http://www.sciencedirect.com/ science/journal/00104655). ∗ Tel.: +49 3315677114. E-mail addresses: teake.nutma@gmail.com, teake.nutma@aei.mpg.de. http://dx.doi.org/10.1016/j.cpc.2014.02.006 0010-4655/© 2014 Elsevier B.V. All(More)
We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional(More)
We present higher-derivative gravities that propagate an arbitrary number of gravitons of different mass on (A)dS backgrounds. These theories have multiple critical points, at which the masses degenerate and the graviton energies are non-negative. For six derivatives and higher there are critical points with positive energy.
We study higher-derivative gravity theories in arbitrary space-time dimension d with a cosmological constant at their maximally critical points where the masses of all linearized perturbations vanish. These theories have been conjectured to be dual to logarithmic conformal field theories in the (d − 1)-dimensional boundary of an AdS solution. We determine(More)
We analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general, and identify the Weyl tensor and its derivatives as the obstruction to factorization. We give a manifestly factorized form for them on (A)dS backgrounds for arbitrary(More)
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