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Consistent 4-form fluxes for maximal supergravity

MPS-Authors
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Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Godazgar,  Mahdi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Krüger,  Olaf
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1507.07684.pdf
(Preprint), 334KB

JHEP10(2015)169.pdf
(Publisher version), 592KB

Supplementary Material (public)
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Citation

Godazgar, H., Godazgar, M., Krüger, O., & Nicolai, H. (2015). Consistent 4-form fluxes for maximal supergravity. Journal of high energy physics: JHEP, 2015(10): 169. doi:10.1007/JHEP10(2015)169.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0028-155D-4
Abstract
We derive new ansaetze for the 4-form field strength of D=11 supergravity corresponding to uplifts of four-dimensional maximal gauged supergravity. In particular, the ansaetze 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 ansaetze provide a substantially simpler method for uplifting d=4 flows compared to the previously available method using the 3-form and 6-form potential ansaetze. 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 ansaetze.