Enlarging the Parameter Space of Heterotic M-Theory Flux Compactifications to Phenomenological Viability

Abstract

Heterotic M-Theory is a promising candidate for that corner of M-theory which makes contact with the real world. However, while the theory requires one of its expansion parameters, $\epsilon$, to be perturbatively small, a successful phenomenology requires $\epsilon =\mathcal{O}(1)$. We show that the constraint to have small $\epsilon$ is actually unnecessary: instead of the original flux compactification background valid to linear order in $\epsilon$ one has to use its appropriate non-linear extension, the exact background solution. The exact background is determined by supersymmetry and consequently one expects the tree-level cosmological constant to vanish which we demonstrate in detail, thereby verifying once more the consistency of this background. Furthermore we show that the exact background represents precisely the 11d origin of the 5d domain wall solution which is an exact solution of the effective 5d heterotic M-theory. We also comment on singularities and the issue of chirality changing transitions in the exact background. The exact background is then applied to determine Newton's Constant for vacua with an M5 brane on the basis of a recent stabilization mechanism for the orbifold length. For vacua without M5 brane we obtain a correction to the lower bound on Newton's Constant which brings it in perfect agreement with the measured value.

30 pages, 2 figures, v2: references added, v3: more references added, v4: 11d exact solution shown to be origin of 5d domain wall solution

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Cited by in corpus (49)

• Axions In String Theory
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• M-Theory Inflation from Multi M5-Brane Dynamics
• De Sitter Vacua from Heterotic M-Theory
• Vacuum Stability in Heterotic M-Theory
• Energy Transfer in Multi Field Inflation and Cosmological Perturbations
• Towards Minkowski Vacua in Type II String Compactifications
• N=1 geometries for M-theory and type IIA strings with fluxes
• Chasing Brane Inflation in String-Theory
• The Spectra of Heterotic Standard Model Vacua
• Yukawa Couplings in Heterotic Standard Models
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
• KKLT type models with moduli-mixing superpotential
• Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
• Raising Anti de Sitter Vacua to de Sitter Vacua in Heterotic M-Theory
• Power Spectrum and Signatures for Cascade Inflation
• Classification of Supersymmetric Flux Vacua in M Theory
• Comments on the four-dimensional effective theory for warped compactification
• Heterotic Cosmic Strings
• Moduli Stabilization in the Heterotic/IIB Discretuum
• Towards Realizing Dynamical SUSY Breaking in Heterotic Model Building
• GUT Relations from String Theory Compactifications
• Moduli Dependent mu-Terms in a Heterotic Standard Model
• Gauge Five Brane Moduli In Four-Dimensional Heterotic Models
• Large Gravitational Waves and Lyth Bound in Multi Brane Inflation
• Heterotic Standard Model Moduli
• Moduli stabilization in heterotic M-theory
• Moduli-mixing racetrack model
• Five-Brane Dynamics and Inflation in Heterotic M-Theory
• S-Track Stabilization of Heterotic de Sitter Vacua
• R^4 Corrections to Heterotic M-theory
• Standard Models and Split Supersymmetry from Intersecting Brane Orbifolds
• Flux Superpotential in Heterotic M-theory
• Supersymmetry Breaking with Zero Vacuum Energy in M-Theory Flux Compactifications
• Uplifting the Iwasawa
• Gaugino Condensation and SUSY Breakdown
• Constraining the Kahler Moduli in the Heterotic Standard Model
• A Heterotic Flux Background and Calibrated Five-Branes
• Aspects of moduli stabilisation in string and M-theory
• Spin-Statistics Violations in Superstring Theory
• On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections
• Stable and Metastable Cosmic Strings in Heterotic M-Theory
• Towards Dark Energy from String-Theory
• Black Holes, Space-Filling Chains and Random Walks
• F-term Uplift in Heterotic M-theory
• The dark dimension, proton decay, and the length of the M-theory interval
• PhD Thesis: String theory in the early universe