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.

version published in JHEP, minor corrections, added references

References in corpus (9)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Nearly Kaehler Reduction
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
• Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking
• On the consistency of coset space dimensional reduction
• Coset Space Dimensional Reduction of Einstein--Yang--Mills theory
• A Note on Moduli Stabilisation in Heterotic Models in the Presence of Matter Fields

Cited by in corpus (8)

• Unification of Gravity and Internal Interactions
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Generalized Compactification in Heterotic String Theory
• Gravity and induced matter on Nearly Kahler Manifolds
• Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions
• Unification of Conformal and Fuzzy Gravities with Internal Interactions resulting in SO(10) and a Possible Probe through Stochastic Gravitational Wave Background
• Unification of Gravities with GUTs
• Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds