On D-brane moduli stabilisation

Marchesano, Fernando; Regalado, Diego; Zoccarato, Gianluca

doi:10.1007/jhep11(2014)097

Cited by 26 publications

(40 citation statements)

References 67 publications

(110 reference statements)

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“…Notice that IASD fluxes can be consistently included only in the presence of

α^{'}

and non‐perturbative effects which give leading contributions to the soft terms. Finally D7 Wilson line moduli develop a scalar potential due to gauge fluxes …”

Section: De Sitter In String Theorymentioning

confidence: 99%

De Sitter vs Quintessence in String Theory

Cicoli

Alwis

Maharana

et al. 2018

Fortschritte der Physik

183

223

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De Sitter solutions have been recently conjectured to be incompatible with quantum gravity. In this paper we critically assess the progress and challenges of different mechanisms to obtain de Sitter vacua in string compactifications and compare them to quintessence models. We argue that, despite recent criticisms, de Sitter models reached a level of concreteness and calculational control which has been improving over time. On the other hand, building string models of quintessence appears to be more challenging and requires additional fine‐tuning. We discuss the tension between the swampland conjecture and the Higgs potential and find examples which can evade fifth‐force bounds even if they seem very hard to realise in string theory. We also comment on the tension with low‐redshift data and explore ultra‐light axions from string theory as dark energy candidates.

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“…Notice that IASD fluxes can be consistently included only in the presence of

α^{'}

and non‐perturbative effects which give leading contributions to the soft terms. Finally D7 Wilson line moduli develop a scalar potential due to gauge fluxes …”

Section: De Sitter In String Theorymentioning

confidence: 99%

De Sitter vs Quintessence in String Theory

Cicoli

Alwis

Maharana

et al. 2018

Fortschritte der Physik

183

223

View full text Add to dashboard Cite

show abstract

“…One can then see that (5.8) amounts to apply the Ansatz (3.46) with the choice of constants A, B, C corresponding to the supersymmetric A1-S1 branch, together with α 2 = e −φ W 2 and α 4 = α 6 = 0. Even if a W 2 = 0 signals that the metric on X 6 is not Calabi-Yau, supersymmetry requires that W 2 has no harmonic component, just as in type IIA compactifications to 4d Minkowski [47]. As such, its presence can be considered as a deformation of the Calabi-Yau metric similar to a warp factor, rather than a discrete deformation or genuine geometric flux carrying topological information, see e.g.…”

Section: Towards a 10d Descriptionmentioning

confidence: 99%

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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“…Notice however that a realistic phenomenological scenario should involve the presence of interactions between closed string moduli and gauged symmetric fields coming from the open string sector, for which moduli stabilization is still work in progress. For interesting approaches see [48][49][50] and references therein.…”

Section: Jhep10(2016)082mentioning

confidence: 99%

Mirror quintic vacua: hierarchies and inflation

Bizet

Loaiza-Brito

Zavala

2016

J. High Energ. Phys.

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Abstract:We study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in P 4 . We focus on the dynamics of the four dimensional moduli space, defined by the axio-dilaton τ and the complex structure modulus z. The z-plane has critical points, the conifold, the orbifold and the large complex structure with non trivial monodromies. We find the solutions to the Picard-Fuchs equations obeyed by the periods of the CY in the full z-plane as a series expansion in z around the critical points to arbitrary order. This allows us to discard fake vacua, which appear as a result of keeping only the leading order term in the series expansions. Due to monodromies vacua are located at a given sheet in the z-plane. A dS vacuum appears for a set of fluxes. We revisit vacua with hierarchies among the 4D and 6D physical scales close to the conifold point and compare them with those found at leading order in [1,2]. We explore slow-roll inflationary directions of the scalar potential by looking at regions where the multi-field slow-roll parameters and η are smaller than one. The value of depends strongly on the approximation of the periods and to achieve a stable value, several orders in the expansion are needed. We do not find realizations of single field axion monodromy inflation. Instead, we find that inflationary regions appear along linear combinations of the four real field directions and for certain configurations of fluxes.

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On D-brane moduli stabilisation

Cited by 26 publications

References 67 publications

De Sitter vs Quintessence in String Theory

De Sitter vs Quintessence in String Theory

A landscape of AdS flux vacua

Mirror quintic vacua: hierarchies and inflation

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