Lectures on Constructing String Vacua

Denef, Frederik

doi:10.1016/s0924-8099(08)80029-7

Cited by 338 publications

(724 citation statements)

References 129 publications

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“…Couplings to flux can give mass to (some of the) deformations of Euclidean D3-branes, and of D7-branes, counted by h 0,2 . Generalizations of (3.111) to backgrounds with flux, and further consistency conditions, are described in [334,[343][344][345][346][347][348][349][350] and reviewed in [338,351].…”

Section: Nonperturbative Effectsmentioning

confidence: 99%

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Inflation and String Theory

2015

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Section: Nonperturbative Effectsmentioning

confidence: 99%

“…The Dine-Seiberg problem [352] can be summarized as follows: when corrections are important, they are not computable, and when they are computable, they are not important [351]. To understand the observation of [352] in more detail, let ρ be a modulus that controls a weak coupling expansion, such that ρ → ∞ is the free limit.…”

Section: Volume Stabilizationmentioning

confidence: 99%

Inflation and String Theory

2015

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“…To demonstrate that one can truly realize supersymmetry-breaking via the OOP mechanism in type IIB Dijkgraaf-Vafa flux geometries, we turn our attention now to a simple example, namely the geometry relevant for SU (2) uv − F DV (x, y) = 0, with…”

Section: Metastable Flux Vacua In Civ-dv Geometries -An Examplementioning

confidence: 99%

“…Because x(z) should be locally one-to-one near the marked points, we must construct it from functions with single poles, namely F (1) 1 and F (1) 2 . On the other hand, y(z) ∼ x(z) 2 near the marked points so it must contain functions with double poles, F (2) 1 and F (2) 2 . This leads us to write 30…”

Section: B2 the Embedding Functions X(z) And Y(z)mentioning

confidence: 99%

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Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Hollands¹,

Marsano²,

Papadodimas³

et al. 2008

J. High Energy Phys.

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We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetry-breaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger Calabi-Yau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3-cycles, we also compute the CIV-DV prepotential for arbitrary number of cuts up to fifth order in the glueball fields.

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String loop moduli stabilisation and cosmology in IIB flux compactifications

Cicoli¹

2010

Fortschritte der Physik

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We present a detailed review of the moduli stabilisation mechanism and possible cosmological implications of the LARGE Volume Scenario (LVS) that emerges naturally in the context of type IIB Calabi‐Yau flux compactifications. After a quick overview of physics beyond the Standard Model, we present string theory as the most promising candidate for a consistent theory of quantum gravity. We then give a pedagogical introduction to type IIB compactifications on Calabi‐Yau orientifolds where most of the moduli are stabilised by turning on background fluxes. However in order to fix the Kähler moduli one needs to consider several corrections beyond the leading order approximations. After presenting a survey of all the existing solutions to this problem, we derive the topological conditions on an arbitrary Calabi‐Yau to obtain the LVS since it requires no fine‐tuning of the fluxes and provides a natural solution of the hierarchy problem. After performing a systematic study of the behaviour of string loop corrections for general type IIB compactifications, we show how they play a crucial rôle to achieve full Kähler moduli stabilisation in the LVS. Before examining the possible cosmological implication of these scenarios, we present a broad overview of string cosmology. We then notice how, in the case of K3‐fibrations, string loop corrections give rise naturally to an inflationary model which yields observable gravity waves. We finally study the finite‐temperature behaviour of the LVS and discuss prospects for future work.

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Lectures on Constructing String Vacua

Cited by 338 publications

References 129 publications

Inflation and String Theory

Inflation and String Theory

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

String loop moduli stabilisation and cosmology in IIB flux compactifications

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