Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds

Abstract

Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional $\mathcal{N}=1$ heterotic supergravity coupled to $\mathcal{N}=1$ super Yang-Mills over manifolds admitting a nearly-Kähler structure. Given the fact that all six-dimensional nearly-Kähler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group manifold, our procedure amounts in applying the Coset Space Dimensional Reduction scheme using these coset spaces as internal manifolds. In our examination firstly the rules of the reduction of the theory over a general six-dimensional non-symmetric manifold are stated and subsequently a detailed case by case analysis is performed for all the three non-symmetric coset spaces. For each case the four-dimensional scalar potential is derived and the corresponding nearly-Kähler limit is obtained. Finally, we determine the corresponding supergravity description of the four-dimensional theory employing the heterotic Gukov-Vafa-Witten formula and results of the special Kähler geometry.

arXiv commentversion published in JHEP, minor corrections, added references

References in corpus (32)

• CFT's From Calabi-Yau Four-folds
• Flux compactifications in string theory: a comprehensive review
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Solitons, Superpotentials and Calibrations
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• General N = 1 Supersymmetric Flux Vacua of (Massive) Type IIA String Theory
• Heterotic on Half-flat
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Exploiting N=2 in consistent coset reductions of type IIA
• Moduli Stabilisation in Heterotic String Compactifications
• Consistent Group and Coset Reductions of the Bosonic String
• Supersymmetric compactifications of heterotic strings with fluxes and condensates
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• Nearly Kaehler Reduction
• Heterotic String Compactifications on Half-flat Manifolds II
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Dimensional Reduction over Coset Spaces and Supersymmetry Breaking
• Heterotic compactifications and nearly-Kahler manifolds
• Reducing the Heterotic Supergravity on nearly-Kahler coset spaces
• SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
• Gaugino Condensates and Fluxes in N = 1 Effective Superpotentials
• Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking
• Supersymmetry Breaking by Dimensional Reduction over Coset Spaces
• On G/H geometry and its use in M-theory compactifications
• On the consistency of coset space dimensional reduction
• Soft Supersymmetry Breaking due to Dimensional Reduction over Non-Symmetric Coset Spaces
• Coset Space Dimensional Reduction of Einstein--Yang--Mills theory
• A Note on Moduli Stabilisation in Heterotic Models in the Presence of Matter Fields
• Heterotic Strings on Generalized Calabi-Yau Manifolds and Kaehler Moduli Stabilization

Cited by in corpus (31)

• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Yang-Mills flows on nearly Kaehler manifolds and G_2-instantons
• Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
• Yang-Mills instantons and dyons on homogeneous G_2-manifolds
• Double quiver gauge theory and nearly Kahler flux compactifications
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Moduli Stabilising in Heterotic Nearly Kähler Compactifications
• Heterotic domain wall solutions and SU(3) structure manifolds
• Nearly Kähler heterotic compactifications with fermion condensates
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• $N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences
• Dimensional Reduction and Vacuum Structure of Quiver Gauge Theory
• Yang-Mills Equations of Motion for the Higgs Sector of SU(3)-Equivariant Quiver Gauge Theories
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure
• Unification of Gravity and Internal Interactions
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Left-invariant Einstein metrics on $S^3\times S^3$
• Generalized Compactification in Heterotic String Theory
• Yang-Mills solutions and Spin(7)-instantons on cylinders over coset spaces with $G_2$-structure
• Solitons and Yukawa Couplings in Nearly Kahler Flux Compactifications
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Non-commutativity in Unified Theories and Gravity
• Unification of Conformal and Fuzzy Gravities with Internal Interactions resulting in SO(10) and a Possible Probe through Stochastic Gravitational Wave Background
• Gravity and induced matter on Nearly Kahler Manifolds
• Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
• Unification of Gravities with GUTs
• Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds
• Nearly-Kaehler dimensional reduction of the heterotic string