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

Abstract

Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group $\mathrm{SO}(4)\times \mathrm{SO}(2,2)⋉T^{16}$. 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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• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
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• Universal properties of Kaluza-Klein gravitons
• Consistent truncations in higher derivative supergravity
• All maximal gauged supergravities with uplift
• Consistent truncations to 3-dimensional supergravity
• Vacua of $\omega$-deformed SO(8) supergravity
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Non-Abelian gauged supergravities as double copies