N=1 geometries for M-theory and type IIA strings with fluxes

Gianguido Dall'Agata; Nikolaos Prezas

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N=1 geometries for M-theory and type IIA strings with fluxes

Gianguido Dall'Agata, Nikolaos Prezas

High Energy Physics - Theory · Submitted 17 Nov 2003

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

The authors' main claim We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes.

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We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes. Our metrics are warped products of four-dimensional Minkowski space-time with a curved internal manifold. We classify the different solutions for irreducible internal manifolds as well as for manifolds with $S^1$ isometries by employing the formalism of group structures and intrinsic torsion. We provide examples within these various classes along with general techniques for their construction. In particular, we generalize the Hitchin flow equations so that one can explicitly build irreducible 7-manifolds with 4-form flux. We also show how several of the examples found in the literature fit in our framework and suggest possible generalizations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes.	contribution 0.76	0.97	0.69	asserted 1.00
s1	Our metrics are warped products of four-dimensional Minkowski space-time with a curved internal manifold.	method 0.35	0.80	0.07	asserted 1.00
s2	We classify the different solutions for irreducible internal manifolds as well as for manifolds with $S^1$ isometries by employing the formalism of group structures and intrinsic torsion.	contribution 0.53	0.95	0.12	asserted 1.00
s3	We provide examples within these various classes along with general techniques for their construction.	contribution 0.98	0.95	0.08	asserted 1.00
s4	In particular, we generalize the Hitchin flow equations so that one can explicitly build irreducible 7-manifolds with 4-form flux.	contribution 0.85	0.95	0.17	asserted 0.99
s5	We also show how several of the examples found in the literature fit in our framework and suggest possible generalizations.	future work 0.51	0.82	0.08	asserted 0.53

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes. Our metrics are warped products of four-dimensional Minkowski space-time with a curved internal manifold. We classify the different solutions for irreducible internal manifolds as well as for manifolds with $S^1$ isometries by employing the formalism of group structures and intrinsic torsion. We provide examples within these various classes along with general techniques for their construction. In particular, we generalize the Hitchin flow equations so that one can explicitly build irreducible 7-manifolds with 4-form flux. We also show how several of the examples found in the literature fit in our framework and suggest possible generalizations.

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References

Forward citations

Cited by 8 Pith papers

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

Type IIA Moduli Stabilization
hep-th 2005-05 accept novelty 8.0 of 10

Fluxes in a type IIA orientifold compactification stabilize all geometric moduli, yielding an infinite family of supersymmetric anti-de Sitter vacua with parametrically large volume and weak coupling.
Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
hep-th 2004-06 accept novelty 8.0 of 10

Supersymmetric type II flux backgrounds on six-manifolds are shown to be generalized Calabi-Yau manifolds, with Ramond-Ramond fluxes entering only one of the two governing pure-spinor equations.
Supersymmetric AdS_5 solutions of M-theory
hep-th 2004-02 accept novelty 8.0 of 10

The paper classifies the local geometry of supersymmetric AdS5 x M6 solutions of D=11 supergravity and constructs new explicit regular compact solutions, including a new family of Sasaki-Einstein spaces containing T^{1,1}/Z2.
Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
hep-th 2005-06 conditional novelty 7.0 of 10

Adding RR, NS and metric fluxes to a T^6/(Omega(-1)^F_L I_3) Type IIA orientifold stabilizes all closed-string moduli in supersymmetric AdS vacua, and one such vacuum hosts a three-generation MSSM-like intersecting D6...
Relative Quantum Gravity: Localized Gravity and the Swampland
hep-th 2025-01 conditional novelty 6.0 of 10

Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.

Show 3 more citing papers

All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
hep-th 2012-08 accept novelty 6.0 of 10

Eleven-dimensional supergravity on any seven-dimensional SU(3)-structure manifold reduces to four-dimensional N=2 gauged supergravity with vector-multiplet, Heisenberg-algebra, and hyperscalar isometries, and the fram...
Supersymmetric AdS(4) compactifications of IIA supergravity
hep-th 2004-12 conditional novelty 6.0 of 10

N=1 supersymmetric AdS4 compactifications of massive IIA supergravity require a half-flat internal six-manifold with torsion in two specific classes, and all form fluxes are fixed by the internal geometry.
Flux compactifications in string theory: a comprehensive review
hep-th 2005-09 accept novelty 3.0 of 10

A structured survey of type II flux compactifications: which fluxes preserve N=1, why compact spaces need orientifold planes, how fluxes generate superpotentials, and how far they go toward fixing moduli.

How the literature uses it

22 arXiv papers cite this in 36 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 · 17 sentences without a confident label

Compares with it 2 papers

Similar analyses have also been performed by [ref] , whose results are equivalent to our results.

BPS-like potential for compactifications of heterotic M-theory? · Supersymmetry conditions · 1.00
The analyses in [ref] and [ref] , on the other hand, fix equal norms and orthogonal real spinors and so define a structure that is strictly not type-0.

Generalising G$_\text{2}$ geometry: involutivity, moment maps and moduli · G2 structures in M-theory · 0.93

Cites it as background 14 papers

Their differentials can be expanded into representations of $(2)$, the $(2)$ torsion classes (see for instance [ref] ).

N=1 SUSY AdS4 vacua in IIB SUGRA on group manifolds · The supersymmetry conditions · 0.91
Recall that a Sasaki–Einstein structure is given by a one-form $η$, a two-form $J_$ and a three-form $Ω_$, satisfying [ref] and [equation] This is a particular example of an SU(3) structure in seven dimensions; in general, an SU(3) structure is again given by a triplet $(η, J, Ω)$, whose derivatives are parametrised by several tensors, known as torsion classes [ref] .

Gauged supergravities from M-theory reductions · A family of SU(3) structures · 0.98
They can be characterized by a triplet of globally defined and $SU(3)$-invariant tensors ${V, J, Ω},$ where $V$ is a one-form, $J$ is a two-form and $Ω$ is a three-form [ref] .

Non-Abelian structures in compactifications of M-theory on seven-manifolds with SU(3) structure · Seven dimensional manifolds with $SU(3)$ structure · 0.95

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