Classification of supersymmetric flux vacua in M-theory

Behrndt, Klaus; Cvetič, Mirjam; Liu, Tao

doi:10.1016/j.nuclphysb.2006.04.018

Cited by 40 publications

(71 citation statements)

References 45 publications

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“…In addition to that, the coefficients α 5,6 and β 5,6 have the same equivalence relations as in (2.34), although − and this is very crucial − α 3,4 and β 3,4 are no longer related by (2.34) because of the back-reactions of the B-fields. The coefficients γ 5,6 are expected to satisfy the following approximate relation…”

Section: Supergravity Solution Without Branesmentioning

confidence: 89%

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

et al. 2006

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In this work we explore many directions in the framework of gauge-gravity dualities. In type IIB theory we give an explicit derivation of the local metric for five branes wrapped on rigid two-cycles. Our derivation involves various interplays between warp factors, dualities and fluxes and the final result confirms our earlier predictions. We also find a novel dipole-like deformation of the background due to an inherent orientifold projection in the full global geometry. The supergravity solution for this deformation takes into account various things like the presence of a non-trivial background topology and fluxes as well as branes. Considering these, we manage to calculate the precise local solution using equations of motion. We also show that this dipole-like deformation has the desired property of decoupling the Kaluza-Klein modes from the IR gauge theory. Finally, for the heterotic theory we find new non-Kähler complex manifolds that partake in the full gauge-gravity dualities and study the mathematical structures of these manifolds including the torsion classes, Betti numbers and other topological data.

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Section: Supergravity Solution Without Branesmentioning

confidence: 89%

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

et al. 2006

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“…Moreover, since the three-cycles intersect pair-wise, the massless chiral matters appear at these intersections. This construction [27] therefore provides an explicit example of supersymmetric flux compactifications with intersecting D6-branes. Further progress has also been made in the construction of N = 1 supersymmetric Type IIA flux vacua with SU(2) structures [27], leading to examples with the internal space conformally Calabi-Yau.…”

Section: Introductionmentioning

confidence: 96%

“…This construction [27] therefore provides an explicit example of supersymmetric flux compactifications with intersecting D6-branes. Further progress has also been made in the construction of N = 1 supersymmetric Type IIA flux vacua with SU(2) structures [27], leading to examples with the internal space conformally Calabi-Yau. However, explicit constructions of models with intersecting probe D6-branes for such flux compactifications is still awaiting further study.…”

Section: Introductionmentioning

confidence: 96%

“…Nevertheless recent work [26,27] revealed the existence of unique flux vacua for massive Type IIA string theory with SU(3) structure, whose geometry of the internal six-dimensional space is nearly-Kähler and four-dimensional space is anti-de Sitter (AdS) (for the discussion on necessary and sufficient conditions of N=1 compactifications of massive IIA supergravity to AdS(4) with SU(3) structure, see also [28]). One such example is the SU (2) 3 SU (2) ≃ S 3 × S 3 coset space that has three supersymmetric three-cycles that add up to zero in homology [27,29]. Therefore the total charge of the D6-branes wrapping such cycles is zero and no introduction of orientifold planes on such spaces is needed.…”

Section: Introductionmentioning

confidence: 99%

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Standardlike models as type IIB flux vacua

Cvetič

Liu

2005

Phys. Rev. D

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We construct new semi-realistic Type IIB flux vacua on Z 2 × Z 2 orientifolds with three-and four-Standard Model (SM) families and up to three units of quantized flux. The open-string sector is comprised of magnetized D-branes and is T-dual to supersymmetric intersecting D6-brane constructions. The SM sector contains magnetized D9-branes with negative D3-brane charge contribution. There are large classes of such models and we present explicit constructions for representative ones. In addition to models with one and two units of quantized flux, we also construct the first three-and four-family Standard-like models with supersymmetric fluxes, i.e. comprising three units of quantized flux. Supergravity fluxes are due to the self-dual NS-NS and R-R three-form field strength and they fix the toroidal complex structure moduli and the dilaton.The supersymmetry conditions for the D-brane sector fix in some models all three toroidal Kähler moduli. We also provide examples where toroidal Kähler moduli are fixed by strong gauge dynamics on the "hidden sector" D7-brane. Most of the models possess Higgs doublet pairs with Yukawa couplings that can generate masses for quarks and leptons. The models have (mainly right-) chiral exotics.

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“…Seperately, various classes of supersymmetric AdS spacetimes in M-theory have been classified, by inserting an appropriately general AdS ansatz directly into the Killing spinor equation of eleven dimensional supergravity; minimally supersymmetric AdS 3 in [35], minimal purely magnetic AdS 4 in [38] and minimal AdS 5 in [39]. Some refinements of these AdS classifications have also appeared; for AdS 4 in [40] and AdS 5 with N = 2 supersymmetry in [41].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric wrapped membranes,AdS₂spaces, and bubbling geometries

Conamhna

Colgáin

2007

J. High Energy Phys.

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We perform a systematic study, in eleven dimensional supergravity, of the geometry of wrapped brane configurations admitting AdS 2 limits. Membranes wrapping holomorphic curves in Calabi-Yau manifolds are found to exhibit some novel features; in particular, for fourfolds or threefolds, the gravitational effect of the branes on the overall transverse space is only weakly restricted by the kinematics of the Killing spinor equation. We also study the AdS 2 limits of the wrapped brane supergravity descriptions. From the description of membranes wrapped in a two-fold, we derive a set of AdS 2 supersymmetry conditions which upon analytic continuation coincide precisely with those for the half-BPS bubbling geometries of LLM. From the near-horizon limit of membranes wrapped in a three-fold, we obtain a set of supersymmetry conditions which upon analytic continuation describe a class of spacetimes which we identify as quarter-BPS bubbling geometries in Mtheory, with SO(4) × SO(3) × U(1) isometry in Riemannian signature. We also study fivebranes wrapping a special lagrangian five-cycle in a fivefold, in the presence of membranes wrapping holomorphic curves, and employ the wrapped brane supersymmetry conditions to derive a classification of the general minimally supersymmetric AdS 2 geometry in M-theory.

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Classification of supersymmetric flux vacua in M-theory

Cited by 40 publications

References 45 publications

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Standardlike models as type IIB flux vacua

Supersymmetric wrapped membranes,AdS₂spaces, and bubbling geometries

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Classification of supersymmetric flux vacua in M-theory

Cited by 40 publications

References 45 publications

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Standardlike models as type IIB flux vacua

Supersymmetric wrapped membranes,AdS2spaces, and bubbling geometries

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Supersymmetric wrapped membranes,AdS₂spaces, and bubbling geometries