Nearly-Kaehler dimensional reduction of the heterotic string

Abstract

The effective action in four dimensions resulting from the ten-dimensional N=1 heterotic supergravity coupled to N=1 supersymmetric Yang-Mills upon dimensional reduction over nearly-Kaehler manifolds is discussed. Nearly-Kaehler manifolds are an interesting class of manifolds admitting an SU(3)-structure and in six dimensions all homogeneous nearly-Kaehler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group manifold. Therefore it is natural to apply the Coset Space Dimensional Reduction scheme using these coset spaces as internal manifolds in order to determine the four-dimensional theory.

11 pages, based on talk given at the Workshop on Cosmology-Strings, 6-13 September 2009, second week of the 9th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Corfu, Greece

References in corpus (10)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Exploiting N=2 in consistent coset reductions of type IIA
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Nearly Kaehler Reduction
• Heterotic String Compactifications on Half-flat Manifolds II
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Reducing the Heterotic Supergravity on nearly-Kahler coset spaces
• Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking