How to halve maximal supergravity

Abstract

We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including gauge groups and scalar potentials. Firstly, we find the linear constraint on N=8 theories to allow for a truncation to N=4. Secondly, we determine the additional N=4 quadratic constraints following from N=8. Finally, we comment on a brane interpretation as tadpole conditions for the latter.

15 pages, 1 figure. v3: minor clarifications, typos corrected - published version

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Cited by in corpus (37)

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• Duality orbits of non-geometric fluxes
• Extended geometry and gauged maximal supergravity
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• Dyonic ISO(7) supergravity and the duality hierarchy
• The Odd story of ${\alpha }^{\prime }$-corrections
• On Type IIB moduli stabilization and N = 4, 8 supergravities
• Triality, Periodicity and Stability of SO(8) Gauged Supergravity
• Surface defects in the D4 $-$ D8 brane system
• Exceptional Flux Compactifications
• Electric-magnetic deformations of D=4 gauged supergravities
• Generalized Dualities and Higher Derivatives
• Double Field Theory at SL(2) angles
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• A note on smeared branes in flux vacua and gauged supergravity
• N=2 Moduli of AdS4 vacua: A fine-print study
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Lobotomy of Flux Compactifications
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• Halving ISO(7) supergravity
• Duality Twisted Reductions of Double Field Theory of Type II Strings
• New AdS${}_4$ Vacua in Dyonic ISO(7) Gauged Supergravity
• Type IIB on $S^3\times S^3$ through $Q$ & $P$ fluxes
• A second look at gauged supergravities from fluxes in M-theory
• Geometric non-geometry
• Vacua Analysis in Extended Supersymmetry Compactifications
• Massive Deformations of Type IIA Theory Within Double Field Theory
• Gauged Supergravities and the Physics of Extra Dimensions
• Space-filling branes & gaugings
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Half-maximal Extended Drinfel'd Algebras
• Gaugings and other aspects in supergravity
• Duality phases and halved maximal D=4 supergravity