Reducing the Heterotic Supergravity on nearly-Kahler coset spaces

Abstract

We study the dimensional reduction of the $\mathcal{N}=1$, ten-dimensional Heterotic Supergravity to four dimensions, at leading order in ${\alpha }^{\prime }$, when the internal space is a nearly-Kähler manifold. Nearly-Kähler manifolds in six dimensions are all the non-symmetric coset spaces and a group manifold. Here we reduce the theory using as internal manifolds the three six-dimensional non-symmetric coset spaces, omitting the case of the group manifold in the prospect of obtaining chiral fermions when the gauge fields will be included. We determine the effective actions for these cases, which turn out to describe $\mathcal{N}=1$ four-dimensional supergravities of the no-scale type and we study the various possibilities concerning their vacuum.

18 pages, references added, comments added, a shorter version will appear in the proceedings of the 4th workshop of the RTN project 'Constituents, Fundamental Forces and Symmetries of the Universe', Varna

References in corpus (7)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Nearly Kaehler Reduction
• Heterotic String Compactifications on Half-flat Manifolds II
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• On the consistency of coset space dimensional reduction
• Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
• Coset Space Dimensional Reduction of Einstein--Yang--Mills theory

Cited by in corpus (26)

• Exploiting N=2 in consistent coset reductions of type IIA
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• 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
• Nearly Kähler heterotic compactifications with fermion condensates
• Heterotic domain wall solutions and SU(3) structure manifolds
• 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
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Yang-Mills Equations of Motion for the Higgs Sector of SU(3)-Equivariant Quiver Gauge Theories
• 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
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions
• Non-commutativity in Unified Theories and Gravity
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
• Nearly-Kaehler dimensional reduction of the heterotic string
• Dimensional Reduction of Supersymmetric Gauge Theories