Systematics of string loop corrections in type IIB Calabi-Yau flux compactifications

By M. Cicoli, Joseph P. Conlon, F. Quevedo. 2007

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We study the behaviour of the string loop corrections to the N = 1 4D supergravity Kahler potential that occur in flux compactifications of IIB string theory on general Calabi-Yau three-folds. We give a low energy interpretation for the conjecture of Berg, Haack and Pajer for the form of the loop corrections to the Kahler potential. We check the consistency of this interpretation in several examples. We show that for arbitrary Calabi-Yaus, the leading contribution of these corrections to the scalar potential is always vanishing, giving an ``extended no-scale structure''. This result holds as long as the corrections are homogeneous functions of degree -2 in the 2-cycle volumes. We use the Coleman-Weinberg potential to motivate this cancellation from the viewpoint of low-energy field theory. Finally we give a simple formula for the 1-loop correction to the scalar potential in terms of the tree-level Kahler metric and the conjectured correction to the Kahler potential. We illustrate our ideas with several examples. A companion paper will use these results in the study of Kahler moduli stabilisation.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/291c6f1373c9426d2177af11aa233d8ad25be883

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Citations in the corpus

Primordial black holes from string inflation (2018, background): “This is realised by open string 1-loops which depend on all Kähler moduli [54– 57] but are subdominant with respect to the leading α′ effects thanks to the extended no-scale structure typical of these models [58].”
Testing string vacua in the lab: from a hidden CMB to dark forces in flux compactifications (2011, background): “A key property of these corrections is that their leading contribution to the scalar potential is vanishing, leading to an ‘extended no-scale structure’ which has a nice low-energy interpretation in terms of the Coleman-Weinberg potential [67].”
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].”
The Swampland: Introduction and Review (2019, background): “However, no such dangerous leading terms have been found in string theory so far, despite extensive attempts to understand them quantitatively, see for example [242–258].”
Volume modulus inflation and the gravitino mass problem (2008, background): “String loop corrections [42] not included in [9] have the potential to lift that flatness.”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “25 Because of the ‘extended no-scale structure’ [74, 75], these corrections are negligible since they scale as V−10/3 whereas Vα′ behaves as V−3.”
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds (2007, background): “Moreover, it has been shown in [34, 35] that due to a second no-scale structure string loop corrections to the Kähler potential are sub-dominant.”
The type IIB string axiverse and its low-energy phenomenology (2012, background): “This scaling can be understood from the fact that the gs potential is of the order Vgs(τSM) ≃ 1/(V3 √ τSM) [25,40], while the mass can be estimated as m(2)τSM ∼ K−1 τSM,τSMVτSM,τSM ∼ 1/(VτSM)(2) ≃ (m3/2αSM) 2.”
Inflation and String Theory (2014, background): “This important phenomenon is called extended no-scale structure [782].”
De Sitter vs Quintessence in String Theory (2018, background): “Moreover, the functional dependence of string loop corrections to K on the Kähler moduli is the easiest to determine (together with the dilaton dependence) from both generalisations of toroidal computations and low-energy arguments [65, 78].”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “However we know that another term in V depends on τ1 once string-loop corrections to K are included, coming from loops of open strings living on the D7-branes wrapped around τ1 [24].”