Large-volume string compactifications, revisited

We compactify the M-theory proposed by Horava and Witten on a CalabiYau manifold with boundary S 1 /Z 2 . A no-scale-like Kähler potential, the superpotential, and the gauge kinetic function are obtained in this 4-dimensional E 6 × E 8 model. We also study the general phenomenological consequences of the resulting M-theory-inspired model, which may include very light gravitinos, axions, and axinos.

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“…Similar relations have been obtained by Witten and others [2,4,5,6] in the metric of the eleven-dimensional theory, these are:…”

Section: Phenomenological Consequencessupporting

confidence: 83%

Compactifications ofMtheory and their phenomenological consequences

López

Nanopoulos

1997

Phys. Rev. D

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“…The actual string loop expansion parameter for Type IIA orientifold in the present T-dual frame is g s times a numerical factor which can be deduced (by T-duality) from that of Type I string theory discussed in [30,31]. Given the discrepancy in the precise numerical factor in the literature, we take the more conservative estimate 7 about the region of validity of perturbation theory in [31] which suggests that the loop expansion parameter λ is λ ≤ .…”

Section: B Searching For De Sitter Vacuamentioning

confidence: 94%

Minimal simple de Sitter solutions

et al. 2009

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We show that the minimal set of necessary ingredients to construct explicit, four-dimensional de Sitter solutions from IIA string theory at tree-level are O6-planes, non-zero Romans mass parameter, form fluxes, and negative internal curvature. To illustrate our general results, we construct such minimal simple de Sitter solutions from an orientifold compactification of compact hyperbolic spaces. In this case there are only two moduli and we demonstrate that they are stabilized to a sufficiently weakly coupled and large volume regime. We also discuss generalizations of the scenario to more general metric flux constructions.

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“…It was pointed out in refs. [21,8] that there is a severe limitation on the large radius compactification even in M-theory limit.…”

Section: Axions Couplings and Scales In M-theorymentioning

confidence: 99%

“…[21], it appeared as a lower limit on the Newton's constant G N for a fixed value of the Kaluza-Klein scale M KK ≈ 2π/R 6 , while in ref. [8] …”

Section: Axions Couplings and Scales In M-theorymentioning

confidence: 99%

“…in M-theory limit [7], opening the possibility for the axion solution to the strong CP problem in the context of M-theory. However it has been pointed out subsequently [8] that there is a certain limitation on the compactification radius even in M-theory, which would require a more careful analysis on this problem.…”

Section: Typeset Using Revt E X I Introduction and Summarymentioning

confidence: 99%

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Axions and the strongCPproblem inMtheory

Choi

1997

Phys. Rev. D

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We examine the possibility that the strong CP problem is solved by stringtheoretic axions in strong-coupling limit of the E 8 ×E ′ 8 heterotic string theory (M -theory). We first discuss some generic features of gauge kinetic functions in compactified M -theory, and examine in detail the axion potential induced by the explicit breakings other than the QCD anomaly of the non-linear U (1) P Q symmetries of string-theoretic axions. It is argued based on supersymmetry and discrete gauge symmetries that if the compactification radius is large enough, there can be a U (1) P Q -symmetry whose breaking other than the QCD anomaly, whatever its microscopic origin is, is suppressed enough for the axion mechanism to work. Phenomenological viability of such a large radius crucially depends upon the quantized coefficients in gauge kinetic functions.We note that the large radius required for the axion mechanism is viable only in a limited class of models. For instance, for compactifications on a smoothCalabi-Yau manifold with a vanishing E ′ 8 field strength, it is viable only when the quantized flux of the antisymmetric tensor field in M -theory has a minimal nonzero value. It is also stressed that this large compactification radius * kchoi@chep6.kaist.ac.kr 1 allows the QCD axion in M -theory to be cosmologically viable in the presence of a late time entropy production.

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Large-volume string compactifications, revisited

Cited by 90 publications

References 47 publications

Compactifications ofMtheory and their phenomenological consequences

Compactifications ofMtheory and their phenomenological consequences

Minimal simple de Sitter solutions

Axions and the strongCPproblem inMtheory

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