Systematics of moduli stabilisation in Calabi-Yau flux compactifications

By Vijay Balasubramanian, Per Berglund, Joseph P. Conlon, F. Quevedo. 2005

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We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all K?hler and complex structure moduli. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of ?' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c50917e4adda41eddf724837f8beca0f1fc3ed6c

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Citations in the corpus

D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “We illustrated this construction in particular models with the observable sector in dP0 and dP8 (this is presented in Appendix A) singularities for which all Kähler moduli were stabilised, giving examples of both KKLT and dS LVS scenarios.”
D-brane Deconstructions in IIB Orientifolds (2008, background): “F-theory picture 6 2.1 Introduction 6 2.2 Fourfold data and D3 tadpole 7 2.3 Weak coupling orientifold limit and D7 moduli 8 2.4 Fluxes 10”
Kinetic Mixing of the Photon with Hidden U(1)s in String Phenomenology (2008, methodology): “More importantly, however, in the current paradigm of LARGE volume [71, 72, 73] or KKLT [27] models we should consider a collection of D6-branes or their T-dual in terms of D3 and D7 branes with gauge fluxes realising the standard model gauge group and spectrum to be a mere local construction suppor”
Phenomenology of a pseudo-scalar inflaton: naturally large nongaussianity (2011, background): “Possibly, interesting models from the perspective of obtaining strong inverse decay effects, are based on the large volume compactification of [66, 67, 68].”
General analysis of LARGE Volume Scenarios with string loop moduli stabilisation (2008, background): “5.1 The single-hole Swiss cheese: CP 4[1,1,1,6,9] 20 5.2 The multiple-hole Swiss cheese: CP 4[1,3,3,3,5] 21 5.3 2-Parameter K3 Fibration: CP 4[1,1,2,2,6] 22 5.4 3-Parameter K3 Fibration 24”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “Finally we want to mention, that other scenarios for moduli stabilization and supersymmetry breaking in type IIB orientifolds have been developed in [501, 443, 497, 502].”
Kahler moduli inflation (2005, methodology): “We now embed the above in reasonably explicit IIB flux compactifications(3) and in particular in the moduli stabilisation mechanism of [13, 14].”
Building an explicit de Sitter (2012, background): “The remaining moduli are then fixed by a combination of non-perturbative effects (such as gaugino condensation of 4D N = 1 gauge theories living on D-branes) [7], a combination of perturbative and non-perturbative effects [8], or an interplay of perturbative effects and negative curvature of the int”
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds (2007, methodology): “For our purpose it is useful and illustrative to start again from a general setup and perform the steps along the lines of [16].”