Type IIA flux vacua with mobile D6-branes

Escobar, Dagoberto; Marchesano, Fernando; Staessens, Wieland

doi:10.1007/jhep01(2019)096

Cited by 26 publications

(59 citation statements)

References 88 publications

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“…As shown in [27], this structure is maintained when including the effect of curvature α -corrections. The same is true in the presence of D6-brane moduli, as discussed in [26] and reviewed in section 6.…”

Section: The Type Iia Flux Potentialmentioning

confidence: 63%

“…One can check that this is the case for the branch (3.40), corresponding to the nonsupersymmetric Minkowski solutions analysed in [30], see also [26,27]. As pointed out in there, for Minkowski vacua the constraint on the fluxesê a = 0 is lifted once that α corrections for the Kähler sector are taken into account.…”

Section: Kähler Moduli Stabilisationmentioning

confidence: 66%

“…which is equivalent to (4.36) in [11]. Regarding the dilaton/complex structure sector, on the one hand one can see that the equations (4.24) and (4.25) in [11] are equivalent to (3.37) of [26] and to the second condition in (3.27). On the other hand, one can check that the eq.…”

Section: Comparison With Dgkt [11]mentioning

confidence: 93%

“…whereG is a homogeneous function of degree 3/2 on the geometric complex structure moduli. This kind of Kähler potential was used in [26,27,30] to construct N = 0…”

Section: Saxionic Derivativesmentioning

confidence: 99%

“…The motivation to analyse this particular setup is two-fold: on the one hand, it has been recently shown in [25] that the type IIA CY flux potential can be expressed as a bilinear on the flux quanta, in which the dependence of axions and saxions factorises. As such, the extremisation conditions take a particularly simple form, already exploited in [26,27] in the search for new vacua.…”

Section: Introductionmentioning

confidence: 99%

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A landscape of AdS flux vacua

Marchesano

Quirant

2019

J. High Energ. Phys.

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132

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We analyse type IIA Calabi-Yau orientifolds with background fluxes and D6-branes.Rewriting the F-term scalar potential as a bilinear in flux-axion polynomials yields a more efficient description of the Landscape of flux vacua, as they are invariant under the discrete shift symmetries of the 4d effective theory. In particular, expressing the extremisation conditions of the scalar potential in terms of such polynomials allows for a systematic search of vacua. We classify families of N = 0 Minkowski, N = 1 AdS and N = 0 AdS flux vacua, extending previous findings in the literature to the Calabi-Yau context. We compute the spectrum of flux-induced masses for some of them and show that they are perturbatively stable, and in particular find a branch of N = 0 AdS vacua where tachyons are absent. Finally, we extend this Landscape to the open string sector by including mobile D6-branes and their fluxes.2 Type IIA orientifolds with fluxes Type IIA flux compactifications constitute a very interesting sector of the string landscape, in the sense that from the classical flux potential one obtains both 4d Minkowski and AdS vacua, some with all moduli stabilised [1,2,5]. In the following we will focus on (massive) type IIA flux vacua whose internal geometry can be approximated by a Calabi-Yau orientifold, as assumed in [24] to derive the F-term potential used in [11]. 1 We then express the scalar potential in the factorised bilinear form of [25]. As pointed out in there, the bilinear form of the potential is independent on whether the background geometry is Calabi-Yau or not and, as it will be clear from the computations in the next section, so will be the strategy to extract the vacua from it. Type IIA on Calabi-Yau orientifoldsLet us consider type IIA string theory compactified on an orientifold of R 1,3 ×M 6 with M 6 a compact Calabi-Yau three-fold. More precisely, we take the standard orientifold quotient by Ω p (−) F L R [5,33-35], 2 with R an anti-holomorphic Calabi-Yau involution acting on the Kähler 2-form J and the holomorphic 3-form Ω as R(J) = −J and R(Ω) = Ω, respectively.In the absence of background fluxes, and neglecting worldsheet and D-brane instanton effects, dimensional reduction to 4d will yield several massless chiral fields, whose scalar components can be described as follows [24]. On the one hand, we have the complexified Kähler moduli T a = b a + it a defined throughwhere J is expressed in the Einstein frame and φ represents the ten-dimensional dilaton. The 2-form basis −2 s ω a correspond to harmonic representatives of the classes in 1 Using such potential to search for vacua is justified a posteriori, by arguing that the flux-induced scale can be made parametrically smaller than the Kaluza-Klein scale, in the same region where corrections to the potential can be neglected, see [11] and section 5.1. Therefore, even if in the presence of fluxes the compactification metric is not Calabi-Yau, it is expected that the fluxless Kähler potential is a good approximation to capture the 4d dynamics. See also [31,3...

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Section: The Type Iia Flux Potentialmentioning

confidence: 63%

Section: Kähler Moduli Stabilisationmentioning

confidence: 66%

Section: Comparison With Dgkt [11]mentioning

confidence: 93%

“…whereG is a homogeneous function of degree 3/2 on the geometric complex structure moduli. This kind of Kähler potential was used in [26,27,30] to construct N = 0…”

Section: Saxionic Derivativesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A landscape of AdS flux vacua

Marchesano

Quirant

2019

J. High Energ. Phys.

Self Cite

132

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The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

951

1,097

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The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field, assuming only a knowledge of quantum field theory and general relativity. It also forms a comprehensive review, covering the range of ideas that are part of the field, from the Weak Gravity Conjecture, through compactifications of String Theory, to the de Sitter conjecture.

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Analytics of type IIB flux vacua and their mass spectra

Coudarchet

Marchesano

Prieto

et al. 2023

J. High Energ. Phys.

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We analyze the tree-level potential of type IIB flux compactifications in warped Calabi-Yau orientifolds, in regions of weak coupling and moderately large complex structure. In this regime, one may approximate the flux-induced superpotential W by a polynomial on the axio-dilaton and complex structure fields, and a significant fraction of vacua corresponds to a quadratic W. In this quadratic case, we argue that vacua fall into three classes, for which one can push the analytic description of their features. In particular, we provide analytic expressions for the vacuum expectation values and flux-induced masses of the axio-dilaton and complex structure fields in a large subclass of vacua, independently of the Calabi-Yau and the number of moduli. We show that supersymmetric vacua always contain flat directions, at least at this level of approximation. Our findings allow to generate vast ensembles of flux vacua in specific Calabi-Yau geometries, as we illustrate in a particular example.

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Type IIA flux vacua with mobile D6-branes

Cited by 26 publications

References 88 publications

A landscape of AdS flux vacua

A landscape of AdS flux vacua

The Swampland: Introduction and Review

Analytics of type IIB flux vacua and their mass spectra

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