Abstract
We derive new ansätze for the 4-form field strength of D = 11 supergravity corresponding to uplifts of four-dimensional maximal gauged supergravity. In particular, the ansätze directly yield the components of the 4-form field strength in terms of the scalars and vectors of the four-dimensional maximal gauged supergravity — in this way they provide an explicit uplift of all four-dimensional consistent truncations of D = 11 supergravity. The new ansätze provide a substantially simpler method for uplifting d = 4 flows compared to the previously available method using the 3-form and 6-form potential ansätze. The ansatz for the Freund-Rubin term allows us to conjecture a ‘master formula’ for the latter in terms of the scalar potential of d = 4 gauged supergravity and its first derivative. We also resolve a long-standing puzzle concerning the antisymmetry of the flux obtained from uplift ansätze.
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Godazgar, H., Godazgar, M., Krüger, O. et al. Consistent 4-form fluxes for maximal supergravity. J. High Energ. Phys. 2015, 169 (2015). https://doi.org/10.1007/JHEP10(2015)169
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DOI: https://doi.org/10.1007/JHEP10(2015)169