Type IIA flux vacua and α′-corrections

Escobar, Dagoberto; Marchesano, Fernando; Staessens, Wieland

doi:10.1007/jhep06(2019)129

Cited by 37 publications

(57 citation statements)

References 44 publications

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“…In particular, the relation between axion potentials and three‐forms as been developed in [] and utilised in the context of inflation in []. This relation has been extensively studied in string theory in a recent program of work [].…”

Section: The Emergence Proposalmentioning

confidence: 99%

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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Section: The Emergence Proposalmentioning

confidence: 99%

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

951

1,097

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“…by virtue of the no-scale condition K I K IJ KJ = 7. The inclusion of α corrections generically breaks this no-scale condition for the Kähler sector, but it can be seen that the deviation goes to zero as the volume increases [14,53], so that a finite constant C can always be found. The second inequality relies on the Cauchy-Schwarz inequality |u| · |v| ≥ |u · v|, with vectors u = (ż I ,ż J ), v = (K IL KL, KJ L K L ), and inner product given by block diagonal matrix with the Kähler metric in the diagonal blocks.…”

Section: Infinite Distances and Monodromiesmentioning

confidence: 99%

“…In type II CY compactifications there are massless 3-forms. For instance, one can very explicitly write down the scalar potential for type IIA N = 1 orientifolds in terms of 4-form field strengths coupling to Chern-Simons polynomials depending only on the axions, fluxes and intersection numbers, bot not on the saxions [47,48] (see also [49][50][51][52][53]). The 3-forms couple to RR and NS domain walls, which separate regions with different values of flux vacua.…”

mentioning

confidence: 99%

The Swampland Distance Conjecture and towers of tensionless branes

Font

Herráez

Ibáñez

2019

J. High Energ. Phys.

110

153

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The Swampland Distance Conjecture states that at infinite distance in the scalar moduli space an infinite tower of particles become exponentially massless. We study this issue in the context of 4d type IIA and type IIB Calabi-Yau compactifications.We find that for large moduli not only towers of particles but also domain walls and strings become tensionless. We study in detail the case of type IIA and IIB N = 1 CY orientifolds and show how for infinite Kähler and/or complex structure moduli towers of domain walls and strings become tensionless, depending on the particular direction in moduli space. For the type IIA case we construct the monodromy orbits of domain walls in detail. We study the structure of mass scales in these limits and find that these towers may occur at the same scale as the fundamental string scale or the KK scale making sometimes difficult an effective field theory description. The structure of IIA and IIB towers are consistent with mirror symmetry, as long as towers of exotic domain walls associated to non-geometric fluxes also appear. We briefly discuss the issue of emergence within this context and the possible implications for 4d vacua. γ a 2 J = M J ∧ω a , V 4,a = 1 2 γ a 4 J ∧J = M J ∧J ∧ω a , V 6 = 1 3! M J ∧J ∧J . (3.8) So far we have neglected the B-field background. Including it amounts to replacing J → J c and taking the absolute value at the end.Let us now clarify why we have made particular emphasis in the objects forming the basis of 4d domain walls, that is, the objects which are constructed by wrapping only one kind of Dp-brane along one supersymmetric cycle once. The key point is that these are, in general, the only ones for which the tension of the final BPS domain wall can be obtained from the DBI action, since for arbitrary combinations they will usually form bound states, not superpositions. Nevertheless, the important point is that for these general BPS bound states the tension is always bounded from above by the addition of the DBI tensions of each of the components, guaranteeing that all the BPS bound states that are formed by an arbitrary combination of the subset of basis branes that are tensionless, will also be tensionless. We will now consider these general

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“…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%

A landscape of AdS flux vacua

Marchesano

Quirant

2019

J. High Energ. Phys.

Self Cite

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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Type IIA flux vacua and α′-corrections

Cited by 37 publications

References 44 publications

The Swampland: Introduction and Review

The Swampland: Introduction and Review

The Swampland Distance Conjecture and towers of tensionless branes

A landscape of AdS flux vacua

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