General analysis of LARGE Volume Scenarios with string loop moduli stabilisation

By M. Cicoli, Joseph P. Conlon, F. Quevedo. 2008

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We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and the existence of at least one blow-up mode resolving point-like singularities are necessary and sufficient conditions for moduli stabilisation with exponentially large volumes. We also analyse the general effects of string loop corrections on this scenario. While the combination of α' and nonperturbative corrections are sufficient to stabilise blow-up modes and the overall volume, quantum corrections are needed to stabilise other directions transverse to the overall volume. This allows exponentially large volume minima to be realised for fibration Calabi-Yaus, with the various moduli of the fibration all being stabilised at exponentially large values. String loop corrections may also play a role in stabilising 4-cycles which support chiral matter and cannot enter directly into the non-perturbative superpotential. We illustrate these ideas by studying the scalar potential for various Calabi-Yau three-folds including K3 fibrations and briefly discuss the potential phenomenological and cosmological implications of our results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/971aaf1b7459e748bc5d2a1b22f2ea732d8bed34

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Citations in the corpus

Primordial black holes from string inflation (2018, background): “9) scales as V0 ∼ H2M2 p ∼ M4 p /V10/3 while the leading order potential which gives mass to V and τdP scales as Vlead ∼ M4 p /(g 3/2 s V3) [43, 44].”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, methodology): “One of the most promising ways to fix the geometric moduli in a controlled manner is given by the type IIB LARGE Volume Scenario [43, 44].”
The type IIB string axiverse and its low-energy phenomenology (2012, methodology): “It is based on a moduli stabilisation mechanism, the so-called LARGE Volume Scenario (LVS), which exploits both perturbative and non-perturbative effects and is characterised by an exponentially large volume of the extra dimensions [23,24].”
Winding out of the Swamp: Evading the Weak Gravity Conjecture with F-term Winding Inflation? (2015, background): “Similarly, there are loop corrections to the Kähler-moduli Kähler potential which, however, affect the scalar potential only at subleading order [56–58].”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, methodology): “Given that τs ∼ O(10) this term scales as 1/V3, and so for c loop > 0, it has the potentiality (4)For a similar mechanism to fix the visible sector four-cycle via string loops but in the presence of non-vanishing singlet VEVs see [3].”
Inflation and String Theory (2014, background): “To understand the results of [367], one piece of geometrical background is necessary.”
The String Landscape, the Swampland, and the Missing Corner (2017, background): “s Non-SUSY allowed? (2.18) Answering this question looks dicult for many reasons. There are typically two dierent ways in which we can get dSin string theory: 1.Metastable dS, as in KKLT, LVS, etc. [28,85]. In this class of models the dSvacuum is obtained from some uplift of a previously AdSvacuum b”
GUTs in Type IIB Orientifold Compactifications (2008, methodology): “5 that these are examples of so-called swiss-cheese Calabi-Yau manifolds which can support large volume vacua with one large and n + 1 small four-cycles [7,8,65].”
The Swampland: Introduction and Review (2019, background): “Note that there are a number of variants on this basic scenario, see for example [242].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “For Calabi-Yaus with negative Euler number and at least one Kahler modulus which is the blow up of a point like singularity; the moduli are stabilised with the overall volume of the compactification given by the exponential of the volume of a blow up cycle [51, 52].”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “In the case h(1,1) − = 1, the remaining geometric modulus, if rigid, can also be fixed non-perturbatively, while if non-rigid, it will be stabilised by string loop effects [40, 41].”