D-terms and F-terms from D7-brane fluxes

Jockers, Hans; Louis, Jan

doi:10.1016/j.nuclphysb.2005.04.011

Cited by 135 publications

(275 citation statements)

References 95 publications

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“…The tree-level Kähler potential coincides with the K tree of the orientifolds given in (2.55), but with a new definition of the chiral Kähler coordinates, which depends on the fact that we are considering D3-or D7-branes [125,126,127,128]. Let us start with D3-branes and then turn to the case of D7-branes.…”

Section: D-brane Effective Actionmentioning

confidence: 97%

“…In particular, we shall derive the four-dimensional N = 1 effective action for Calabi-Yau orientifolds including background fluxes, D3/D7-branes and O3/O7-planes [125,126,127,128]. Useful review papers extending this discussion are [57,76,129,130,131,132,133,134].…”

Section: From Strings To Cosmologymentioning

confidence: 99%

“…However, this N = 2 can be further broken to N = 1 by introducing an appropriate orientifold projection [143,144]. Type IIB compactifications on Calabi-Yau orientifolds [76,125,126,127,128] are typically characterised by the presence of non-trivial background fluxes and localised sources like D-branes. In this section, we shall mainly concentrate on the truncation of the N = 2 four-dimensional spectrum due to the orientifolding and the consequent modification of the supergravity bulk effective action, ignoring the study of internal fluxes and localised sources, which will be analysed in detail in section 2.4 and 2.5, respectively.…”

Section: N = 1 Type Iib Compactificationsmentioning

confidence: 99%

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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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Section: D-brane Effective Actionmentioning

confidence: 97%

Section: From Strings To Cosmologymentioning

confidence: 99%

Section: N = 1 Type Iib Compactificationsmentioning

confidence: 99%

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String loop moduli stabilisation and cosmology in IIB flux compactifications

Cicoli¹

2010

Fortschritte der Physik

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“…To determine the correct Kähler coordinates a careful dimensional reduction must be performed of the orientifold model with branes and fluxes. This problem has been studied in great detail by Louis and collaborators [49,50,51,52,53] and we shall simply state their results.…”

Section: Chiral Coordinates For N = 1 Supergravitymentioning

confidence: 99%

Moduli stabilisation and applications in IIB string theory

Conlon¹

2007

Fortschritte der Physik

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SummaryString compactifications represent the most promising approach towards unifying general relativity with particle physics. However, naive compactifications give rise to massless particles (moduli) which would mediate unobserved longrange forces, and it is therefore necessary to generate a potential for the moduli.In the introductory chapters I review this problem and recall how in IIB compactifications the dilaton and complex structure moduli can be stabilised by 3-form fluxes. There exist very many possible discrete flux choices which motivates the use of statistical techniques to analyse this discretuum of choices. Such approaches generate formulae predicting the distribution of vacua and I describe numerical tests of these formulae on the Calabi-Yau P 4[1,1,2,2,6] . Stabilising the Kähler moduli requires nonperturbative superpotential effects. I review the KKLT construction and explain why this must in general be supplemented with perturbative Kähler corrections. I show how the incorporation of such corrections generically leads to non-supersymmetric minima at exponentially large volumes, giving a detailed account of the α ′ expansion and its relation to Kähler corrections. I illustrate this with explicit computations for the 1,1,6,9] . The next part of the thesis examines phenomenological applications of this construction. I first describe how the magnitude of the soft supersymmetry parameters may be computed. In the large-volume models the gravitino mass and soft terms are volume-suppressed. As we naturally have V ≫ 1, this gives a dynamical solution of the hierarchy problem. I also demonstrate the existence of a fine structure in the soft terms, with gaugino masses naturally lighter than the gravitino mass by a factor ln M P m 3/2 . A second chapter gives a detailed analysis of the relationship of moduli stabilisation to the QCD axions relevant to the strong CP problem, proving a no-go theorem on the compatibility of a QCD axion with supersymmetric moduli stabilisation. I describe how QCD axions can coexist with nonsupersymmetric perturbative stabilisation and how the large-volume models naturally contain axions with decay constants that are phenomenologically allowed and satisfy the appealing relationship f 2 a ∼ M P M susy . A further chapter describe how a simple and predictive inflationary model can be built in the context of the above large-volume construction, using the no-scale Kähler potential to avoid the η problem.I finally conclude, summarising the phenomenological scenario and outlining the prospects for future work.

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“…We will come back to this in section 4.2. It should be possible to obtain a charged matter content in the D3/D7 inflation model which allows for gaugino condensation by considering appropriate fluxes [41,42,43,44]. We will assume this in the following, without considering a concrete model.…”

Section: Introductionmentioning

confidence: 99%