Supersymmetric AdS(4) compactifications of IIA supergravity

By D. Lust, D. Tsimpis. 2004

269 citations recorded by the source corpus.

We derive necessary and sufficient conditions for N=1 compactifications of (massive) IIA supergravity to AdS(4) in the language of SU(3) structures. We find new solutions characterized by constant dilaton and nonzero fluxes for all form fields. All fluxes are given in terms of the geometrical data of the internal compact space. The latter is constrained to belong to a special class of half-flat manifolds.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2dbc1b3eb9f3d6ed3d3aa274132fb40fd4801506

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Eran Palti
2. Ralph Blumenhagen
3. Gary Shiu
4. D. Lust
5. M. Graña
6. S. Stieberger
7. B. Kors
8. Luis E Ibáñez

In Geometry and Topology

1. M. Graña
2. Paul Koerber
3. A. Tomasiello
4. L. Martucci
5. Eran Palti
6. D. Lust
7. M. Petrini
8. Gary Shiu

In Nuclear and High Energy Physics

1. Eran Palti
2. D. Lust
3. Ralph Blumenhagen
4. M. Graña
5. Gary Shiu
6. Paul Koerber
7. S. Stieberger
8. B. Kors

Citations in the corpus

• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, background): “We conclude that supersymmetric AdS compactifications have W1 and W2 different from zero but W3 = W4 = W5 = 0, as found in [60] in a more general setup.”
• Supersymmetric D-branes and calibrations on general Script N = 1 backgrounds (2005, background): “Furthermore, one has to bear in mind that these equations only make sense if not all of the RR field strengths are vanishing and that in order to have a complete supergravity solution one has to supplement these conditions with the Bianchi identities and the equations of motion for the fluxes [16].”
• From ten to four and back again: how to generalize the geometry (2007, background): “This condition is necessary for supersymmetric AdS vacua [33, 34] or for introducing supersymmetric D-branes or O-planes [9].”
• A scan for new N = 1 vacua on twisted tori (2006, background): “1) , this is equivalent to solving the full set of ten–dimensional equations of motion [52].”
• The Swampland: Introduction and Review (2019, background): “The most general such solution to the ten-dimensional equations was found in [200,201].”
• Flux compactifications in string theory: A Comprehensive review (2005, background): “Twenty years after the seminal paper by Candelas, Horowitz, Strominger, Witten, and thanks to the work of many people, the most general type II backgrounds compatible with N = 1 supersymmetry on manifolds of SU(3) structure are now known [60, 58, 43, 64, 61], and a lot is known about flux background”
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, methodology): “The reason for this is that the supersymmetry conditions of [ 18 ] (for constant Romans mass) force the warp factor to be constant.”
• Towards classical de Sitter solutions in string theory (2009, methodology): “J H E P 0 9 ( 2 0 0 9 ) 1 1 4 These kind of SU(3)-structure spaces have been shown to allow for supersymmetric AdS4 solutions [3, 24, 25] with and without sources.”
• Generalized structures of N=1 vacua (2005, methodology): “We have kept both of them, as done for example in [6, 23, 30], and defined the complex quantity μ = μ1+iμ2.”
• The gauge dual of Romans mass (2009, background): “SU(3)–structure solutions are characterized by a set of equations first found in [ 33 ]; in the present notation, they can be found in [5, Eq. (2.2,2.6)].”
• Supersymmetric sources, integrability and generalized-structure compactifications (2007, background): “1 For a detailed analysis in the language of ordinary G-structures, see [9, 10 ].”
• All AdS7 solutions of type II supergravity (2013, background): “As we mentioned earlier, in our case, however, supersymmetry guarantees that the equations of motion for the dilaton and metric are automatically satisfied [21].”
• De Sitter hunting in a classical landscape (2011, methodology): “This is for instance the case with SUSY AdS vacua in IIA from SU(3)-structure manifolds [52] (and also non-SUSY AdS vacua, see [53]).”
• A simple class of N = 3 gauge/gravity duals (2008, background): “Because of general results on AdS4 solutions [49,50], this means that, from a type IIA perspective, this solution has an SU(3)× SU(3) structure on T ⊕ T ∗ (as opposed to an SU(3) structure on the tangent bundle).”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “A similar analysis is actually true for flux compactifications with a four-dimensional AdS4 space instead of Minkowski space-time [516].”