Fixing all moduli in a simple f-theory compactification

By Frederik Denef, Michael R Douglas, B. Florea, A. Grassi, S. Kachru. 2005

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We discuss a simple example of an F-theory compactification on a Calabi-Yau fourfold where background fluxes, together with nonperturbative effects from Euclidean D3 instantons and gauge dynamics on D7 branes, allow us to fix all closed and open string moduli. We explicitly check that the known higher order corrections to the potential, which we neglect in our leading approximation, only shift the results by a small amount. In our exploration of the model, we encounter interesting new phenomena, including examples of transitions where D7 branes absorb O3 planes, while changing topology to preserve the net D3 charge.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/908db04a7f6ac98a934d2e836816b2da2d645bcb

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Citations in the corpus

Planckian axions and the Weak Gravity Conjecture (2015, methodology): “As such, it does not, in itself, exclude largefield axion inflation, and does not necessitate corrections to [10] (although quantifying possible corrections would nevertheless be valuable).”
Simple de Sitter solutions (2007, methodology): “Simple and explicit models of compactification down to AdS4 have been found using this general framework(1) in type IIB string theory [18,19,20] and IIA [14,16,21,22,15,23].”
Inflation in AdS/CFT (2005, background): “In recent years there has been dramatic progress in constructing string vacua with stabilized moduli and positive and negative cosmological constants [4,5,6,7,8,9,10,11].”
Axion inflation in type II string theory (2007, background): “3), together with a superpotential due to background fluxes, are shown to be sufficient to stabilize all moduli in the model [57].”
Les Houches Lectures on Constructing String Vacua (2008, methodology): “The first concrete models satisfying the necessary geometrical requirements for his (in the KKLT scenario) were proposed in [125], and a simpler and more expl icit model was given in [126] and subsequently generalized in [127, 128].”
The Kreuzer-Skarke axiverse (2018, unknown): “For instance, the Mori cone constraints in the geometry studied in [42] are much milder than those of a typical hypersurface, possibly because the Kähler moduli space in [42] has a symmetry corresponding to exchanging the Kähler moduli that correspond to blowups.”
Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “While there exist examples for which the Kähler moduli can be stabilised purely by non-perturbative effects [12], such models are unlikely to be representative, not least because all such minima are supersymmetric.”
Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds (2011, background): “In addition, there are other issues in four dimensions, particularly those related to singularities in complex codimension three in the base of the F-theory elliptic fibration [18, 19], whose complete physical understanding will undoubtedly require an understanding of the complex codimension two eff”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “Examples on toroidal orientifolds and in F-theory were constructed in [41–43].”
Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.”
D-brane Deconstructions in IIB Orientifolds (2008, background): “• Slow roll inflation can be accommodated, at least in fine tuned local models [10, 11, 12, 13].”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, result): “Problems one faces include things like the description of RR fluxes in string theory, showing that the necessary nonperturbative effects actually can and do appear in a way consistent with other contributions to the potential (for progress in this direction, see [16, 17, 18, 19, 20, 21, 22, 23, 24, ”
Distributions of nonsupersymmetric flux vacua (2004, background): “In particular, their stabilization requires a sufficient number of nonperturbative contributions to the superpotential [33, 12, 13 ], which may or may not be present in a given model.”
Fencing in the swampland: quantum gravity constraints on large field inflation (2015, methodology): “obtained via multiple closed string axions using the semi-explicit construction of [12].”