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arXiv · 1710.02163

Ten-dimensional origin of Minkowski vacua in ${\cal N}=8$ supergravity

Emanuel Malek·Henning Samtleben
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Abstract

Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group $\mathrm{SO}(4) \times \mathrm{SO}(2,2) \ltimes T^{16}$. Both admit a Minkowski vacuum with residual $\mathrm{SO}(4) \times \mathrm{SO}(2)^2$ symmetry and identical spectrum. We explore these vacua and their deformations. Using exceptional field theory, we show that the four-dimensional theories arise as consistent truncations from IIA and IIB supergravity, respectively, around a $\mathrm{Mink}_4\times S^3\times H^3$ geometry. The IIA/IIB truncations are efficiently related by an outer automorphism of $\mathrm{SL}(4) \subset \mathrm{E}_{7(7)}$. As an application, we give an explicit uplift of the moduli of the vacua into a 4-parameter family of ten-dimensional solutions.

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Emanuel Malek, Henning Samtleben. 2017-10-05. Ten-dimensional origin of Minkowski vacua in ${\cal N}=8$ supergravity. https://doi.org/10.1016/j.physletb.2017.11.011

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