Exact Embedding of N=1, D=7 Gauged Supergravity in D=11

C.N. Pope; H. Lu

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Exact Embedding of N=1, D=7 Gauged Supergravity in D=11

H. Lu, C.N. Pope

High Energy Physics - Theory · Submitted 22 Jun 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We obtain the explicit and complete bosonic non-linear Kaluza-Klein ansatz for the consistent S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity.

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We obtain the explicit and complete bosonic non-linear Kaluza-Klein ansatz for the consistent S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity. This provides a geometrical interpretation of the lower dimensional solutions from the eleven-dimensional point of view.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We obtain the explicit and complete bosonic non-linear Kaluza-Klein ansatz for the consistent S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity.	contribution 0.58	0.96	0.88	asserted 1.00
s1	This provides a geometrical interpretation of the lower dimensional solutions from the eleven-dimensional point of view.	interpretation 1.00	0.64	0.15	asserted 1.00

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The paper

Original abstract

We obtain the explicit and complete bosonic non-linear Kaluza-Klein ansatz for the consistent S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity. This provides a geometrical interpretation of the lower dimensional solutions from the eleven-dimensional point of view.

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References

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Gauged Six-dimensional Supergravity from Massive Type IIA
hep-th 1999-06 accept novelty 8.0 of 10

The Romans F(4) gauged supergravity in six dimensions is shown to arise as a consistent warped S^4 Kaluza-Klein reduction of massive type IIA supergravity.
Timelike Supersymmetric Geometries in Seven-Dimensional Supergravity
hep-th 2026-10 conditional novelty 7.0 of 10

A complete timelike-supersymmetric classification is derived for the common equal-charge Cartan sector of maximal and minimal seven-dimensional supergravity, organizing solutions by gauging and by whether the Cartan f...
Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity
hep-th 2025-01 conditional novelty 7.0 of 10

A warped R × T^{1,1} vacuum of heterotic supergravity preserves 1/4 supersymmetry and reduces consistently to N=1, D=4 supergravity with SU(2)×SU(2) Yang-Mills fields of geometric origin.
Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
hep-th 2000-03 conditional novelty 7.0 of 10

The paper constructs the complete non-linear Kaluza-Klein reduction Ansatz for type IIB supergravity on a five-sphere, yielding five-dimensional gravity coupled to fifteen SO(6) gauge fields and twenty SL(6,R)/SO(6) s...
Consistency of the $AdS_7\times S_4$ reduction and the origin of self-duality in odd dimensions
hep-th 1999-11 conditional novelty 7.0 of 10

The paper constructs and checks the full nonlinear Kaluza-Klein ansatz reducing eleven-dimensional supergravity on AdS7 x S4 to seven-dimensional gauged supergravity, and traces seven-dimensional self-duality to a fir...

Show 6 more citing papers

M5 branes wrapping $\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces
hep-th 2026-06 unverdicted novelty 6.0 of 10

Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
Light dilaton from top-down holographic confinement with magnetic fluxes
hep-th 2026-02 conditional novelty 6.0 of 10

In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...
Universal consistent truncation for 6d/7d gauge/gravity duals
hep-th 2015-06 conditional novelty 6.0 of 10

Every AdS7 solution of massive IIA supergravity admits a consistent truncation to seven-dimensional minimal gauged supergravity, making that theory a universal sector shared by the whole infinite family.
On the stability of holographic confinement with magnetic fluxes
hep-th 2024-11 conditional novelty 5.0 of 10

A bottom-up holographic model with magnetic flux on a circle shows a confining-to-conformal phase transition that occurs before a tachyonic instability, with the lightest scalar near the transition resembling a dilaton.
Gravitational Stability and Renormalization-Group Flow
hep-th 1999-09 accept novelty 5.0 of 10

Any dilaton potential that admits a stable anti-de Sitter vacuum can be recast so that its domain walls solve first-order Bogomol'nyi equations, making the holographic renormalization-group flow tractable.
Dilatonic states, phase transitions, and criticality in holography
hep-th 2026-07 accept novelty 3.0 of 10

A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.

How the literature uses it

19 arXiv papers cite this in 43 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 25 sentences without a confident label

Builds on it 1 paper

We will give an extension to the result of [ref] by constructing $SO(4)$ gauged theory including topological mass term from a truncation of $S^4$ reduction of eleven dimensional supergravity.

N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions · Introduction · 0.99

Uses its method or tool 3 papers

The 11d truncation Ansatz takes then the simplified form [ref] [equation] where, for simplicty of notation, $s=sinξ$ and $c=cosξ$.

Searching for Coleman-de Luccia bubbles in AdS compactifications · Supergravity setup and AdS$_7$ vacua · 0.84
We present the explicit 11d geometry obtained by using the uplift formulas in [ref] , to then show that it belongs to the general classification of AdS$_3×S^3 ×S^3 ×Σ_2$ solutions to M-theory of [ref] , preserving large $N=(4,4)$ supersymmetry.

Half-BPS Janus solutions in AdS$_7$ · The Janus solution in M-theory · 0.88
To obtain the topological mass term, we will impose the so-called odd-dimensional self-duality as in [ref] .

N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions · Seven dimensional $N=2$ gauged supergravity from eleven dimensions · 0.94

Compares with it 2 papers

The above potential becomes [equation] which is exactly the same as that given in [ref] up to a redefinition of the coupling constant $g$.

N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions · $SO(4)$ $N=2$ gauged supergravity from $S^4$ reduction · 1.00
When comparing our truncation ansatz with the one given in Section 4.1 of [ref] , one should take into account that $Â^here=-Â^FNR$ (this is seen from comparing our 11d Maxwell equation with the one in [ref] , which provides the 7d to 11d uplift formulae used in [ref] ).

$\mathcal{N}=2$ consistent truncations from wrapped M5-branes · The truncation ansatz · 0.98

Cites it as background 8 papers

It is well known that the equations of motion of the minimal gauged supergravity in $d=7$ written in [ref] are obtained by reducing eleven-dimensional supergravity on $S^4$ [ref] .

Supersymmetric objects in gauged supergravities · BPS Objects in $d=7$ and their M-Theory Origin · 0.82
It is well-known that M-theory can be consistently reduced over 4-spheres (see e.g. [ref] ).

Searching for Coleman-de Luccia bubbles in AdS compactifications · Supergravity setup and AdS$_7$ vacua · 0.96
However, there are many subtleties involved with sphere truncations (see e.g. [ref] ) and more general coset reductions (see e.g. [ref] ).

Rounding out the story of higher derivative consistent truncations · Introduction and summary · 0.98

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